- •Contents
- •Acknowledgments
- •Preface
- •What a Crossover Does
- •Why a Crossover Is Necessary
- •Beaming and Lobing
- •Passive Crossovers
- •Active Crossover Applications
- •Bi-Amping and Bi-Wiring
- •Loudspeaker Cables
- •The Advantages and Disadvantages of Active Crossovers
- •The Advantages of Active Crossovers
- •Some Illusory Advantages of Active Crossovers
- •The Disadvantages of Active Crossovers
- •The Next Step in Hi-Fi
- •Active Crossover Systems
- •Matching Crossovers and Loudspeakers
- •A Modest Proposal: Popularising Active Crossovers
- •Multi-Way Connectors
- •Subjectivism
- •Sealed-Box Loudspeakers
- •Reflex (Ported) Loudspeakers
- •Auxiliary Bass Radiator (ABR) Loudspeakers
- •Transmission Line Loudspeakers
- •Horn Loudspeakers
- •Electrostatic Loudspeakers
- •Ribbon Loudspeakers
- •Electromagnetic Planar Loudspeakers
- •Air-Motion Transformers
- •Plasma Arc Loudspeakers
- •The Rotary Woofer
- •MTM Tweeter-Mid Configurations (d’Appolito)
- •Vertical Line Arrays
- •Line Array Amplitude Tapering
- •Line Array Frequency Tapering
- •CBT Line Arrays
- •Diffraction
- •Sound Absorption in Air
- •Modulation Distortion
- •Drive Unit Distortion
- •Doppler Distortion
- •Further Reading on Loudspeaker Design
- •General Crossover Requirements
- •1 Adequate Flatness of Summed Amplitude/Frequency Response On-Axis
- •2 Sufficiently Steep Roll-Off Slopes Between the Filter Outputs
- •3 Acceptable Polar Response
- •4 Acceptable Phase Response
- •5 Acceptable Group Delay Behaviour
- •Further Requirements for Active Crossovers
- •1 Negligible Extra Noise
- •2 Negligible Impairment of System Headroom
- •3 Negligible Extra Distortion
- •4 Negligible Impairment of Frequency Response
- •5 Negligible Impairment of Reliability
- •Linear Phase
- •Minimum Phase
- •Absolute Phase
- •Phase Perception
- •Target Functions
- •All-Pole and Non-All-Pole Crossovers
- •Symmetric and Asymmetric Crossovers
- •Allpass and Constant-Power Crossovers
- •Constant-Voltage Crossovers
- •First-Order Crossovers
- •First-Order Solen Split Crossover
- •First-Order Crossovers: 3-Way
- •Second-Order Crossovers
- •Second-Order Butterworth Crossover
- •Second-Order Linkwitz-Riley Crossover
- •Second-Order Bessel Crossover
- •Second-Order 1.0 dB-Chebyshev Crossover
- •Third-Order Crossovers
- •Third-Order Butterworth Crossover
- •Third-Order Linkwitz-Riley Crossover
- •Third-Order Bessel Crossover
- •Third-Order 1.0 dB-Chebyshev Crossover
- •Fourth-Order Crossovers
- •Fourth-Order Butterworth Crossover
- •Fourth-Order Linkwitz-Riley Crossover
- •Fourth-Order Bessel Crossover
- •Fourth-Order 1.0 dB-Chebyshev Crossover
- •Fourth-Order Linear-Phase Crossover
- •Fourth-Order Gaussian Crossover
- •Fourth-Order Legendre Crossover
- •Higher-Order Crossovers
- •Determining Frequency Offsets
- •Filler-Driver Crossovers
- •The Duelund Crossover
- •Crossover Topology
- •Crossover Conclusions
- •Elliptical Filter Crossovers
- •Neville Thiele MethodTM (NTM) Crossovers
- •Subtractive Crossovers
- •First-Order Subtractive Crossovers
- •Second-Order Butterworth Subtractive Crossovers
- •Third-Order Butterworth Subtractive Crossovers
- •Fourth-Order Butterworth Subtractive Crossovers
- •Subtractive Crossovers With Time Delays
- •Performing the Subtraction
- •Active Filters
- •Lowpass Filters
- •Highpass Filters
- •Bandpass Filters
- •Notch Filters
- •Allpass Filters
- •All-Stop Filters
- •Brickwall Filters
- •The Order of a Filter
- •Filter Cutoff Frequencies and Characteristic Frequencies
- •First-Order Filters
- •Second-Order and Higher-Order Filters
- •Filter Characteristics
- •Amplitude Peaking and Q
- •Butterworth Filters
- •Linkwitz-Riley Filters
- •Bessel Filters
- •Chebyshev Filters
- •1 dB-Chebyshev Lowpass Filter
- •3 dB-Chebyshev Lowpass Filter
- •Higher-Order Filters
- •Butterworth Filters up to 8th-Order
- •Linkwitz-Riley Filters up to 8th-Order
- •Bessel Filters up to 8th-Order
- •Chebyshev Filters up to 8th-Order
- •More Complex Filters—Adding Zeros
- •Inverse Chebyshev Filters (Chebyshev Type II)
- •Elliptical Filters (Cauer Filters)
- •Some Lesser-Known Filter Characteristics
- •Transitional Filters
- •Linear-Phase Filters
- •Gaussian Filters
- •Legendre-Papoulis Filters
- •Laguerre Filters
- •Synchronous Filters
- •Other Filter Characteristics
- •Designing Real Filters
- •Component Sensitivity
- •First-Order Lowpass Filters
- •Second-Order Filters
- •Sallen & Key 2nd-Order Lowpass Filters
- •Sallen & Key Lowpass Filter Components
- •Sallen & Key 2nd-Order Lowpass: Unity Gain
- •Sallen & Key 2nd-Order Lowpass Unity Gain: Component Sensitivity
- •Filter Frequency Scaling
- •Sallen & Key 2nd-Order Lowpass: Equal Capacitor
- •Sallen & Key 2nd-Order Lowpass Equal-C: Component Sensitivity
- •Sallen & Key 2nd-Order Butterworth Lowpass: Defined Gains
- •Sallen & Key 2nd-Order Lowpass: Non-Equal Resistors
- •Sallen & Key 2nd-Order Lowpass: Optimisation
- •Sallen & Key 3rd-Order Lowpass: Two Stages
- •Sallen & Key 3rd-Order Lowpass: Single Stage
- •Sallen & Key 4th-Order Lowpass: Two Stages
- •Sallen & Key 4th-Order Lowpass: Single-Stage Butterworth
- •Sallen & Key 4th-Order Lowpass: Single-Stage Linkwitz-Riley
- •Sallen & Key 5th-Order Lowpass: Three Stages
- •Sallen & Key 5th-Order Lowpass: Two Stages
- •Sallen & Key 5th-Order Lowpass: Single Stage
- •Sallen & Key 6th-Order Lowpass: Three Stages
- •Sallen & Key 6th-Order Lowpass: Single Stage
- •Sallen & Key Lowpass: Input Impedance
- •Linkwitz-Riley Lowpass With Sallen & Key Filters: Loading Effects
- •Lowpass Filters With Attenuation
- •Bandwidth Definition Filters
- •Bandwidth Definition: Butterworth Versus Bessel
- •Variable-Frequency Lowpass Filters: Sallen & Key
- •First-Order Highpass Filters
- •Sallen & Key 2nd-Order Filters
- •Sallen & Key 2nd-Order Highpass Filters
- •Sallen & Key Highpass Filter Components
- •Sallen & Key 2nd-Order Highpass: Unity Gain
- •Sallen & Key 2nd-Order Highpass: Equal Resistors
- •Sallen & Key 2nd-Order Butterworth Highpass: Defined Gains
- •Sallen & Key 2nd-Order Highpass: Non-Equal Capacitors
- •Sallen & Key 3rd-Order Highpass: Two Stages
- •Sallen & Key 3rd-Order Highpass in a Single Stage
- •Sallen & Key 4th-Order Highpass: Two Stages
- •Sallen & Key 4th-Order Highpass: Butterworth in a Single Stage
- •Sallen & Key 4th-Order Highpass: Linkwitz-Riley in a Single Stage
- •Sallen & Key 4th-Order Highpass: Single-Stage With Other Filter Characteristics
- •Sallen & Key 5th-Order Highpass: Three Stages
- •Sallen & Key 5th-Order Butterworth Filter: Two Stages
- •Sallen & Key 5th-Order Highpass: Single Stage
- •Sallen & Key 6th-Order Highpass: Three Stages
- •Sallen & Key 6th-Order Highpass: Single Stage
- •Sallen & Key Highpass: Input Impedance
- •Bandwidth Definition Filters
- •Bandwidth Definition: Subsonic Filters
- •Bandwidth Definition: Combined Ultrasonic and Subsonic Filters
- •Variable-Frequency Highpass Filters: Sallen & Key
- •Designing Filters
- •Multiple-Feedback Filters
- •Multiple-Feedback 2nd-Order Lowpass Filters
- •Multiple-Feedback 2nd-Order Highpass Filters
- •Multiple-Feedback 3rd-Order Filters
- •Multiple-Feedback 3rd-Order Lowpass Filters
- •Multiple-Feedback 3rd-Order Highpass Filters
- •Biquad Filters
- •Akerberg-Mossberg Lowpass Filter
- •Akerberg-Mossberg Highpass Filters
- •Tow-Thomas Biquad Lowpass and Bandpass Filter
- •Tow-Thomas Biquad Notch and Allpass Responses
- •Tow-Thomas Biquad Highpass Filter
- •State-Variable Filters
- •Variable-Frequency Filters: State-Variable 2nd Order
- •Variable-Frequency Filters: State-Variable 4th-Order
- •Variable-Frequency Filters: Other Orders of State-Variable
- •Other Filters
- •Aspects of Filter Performance: Noise and Distortion
- •Distortion in Active Filters
- •Distortion in Sallen & Key Filters: Looking for DAF
- •Distortion in Sallen & Key Filters: 2nd-Order Lowpass
- •Distortion in Sallen & Key Filters: 2nd-Order Highpass
- •Mixed Capacitors in Low-Distortion 2nd-Order Sallen & Key Filters
- •Distortion in Sallen & Key Filters: 3rd-Order Lowpass Single Stage
- •Distortion in Sallen & Key Filters: 3rd-Order Highpass Single Stage
- •Distortion in Sallen & Key Filters: 4th-Order Lowpass Single Stage
- •Distortion in Sallen & Key Filters: 4th-Order Highpass Single Stage
- •Distortion in Sallen & Key Filters: Simulations
- •Distortion in Sallen & Key Filters: Capacitor Conclusions
- •Distortion in Multiple-Feedback Filters: 2nd-Order Lowpass
- •Distortion in Multiple-Feedback Filters: 2nd-Order Highpass
- •Distortion in Tow-Thomas Filters: 2nd-Order Lowpass
- •Distortion in Tow-Thomas Filters: 2nd-Order Highpass
- •Noise in Active Filters
- •Noise and Bandwidth
- •Noise in Sallen & Key Filters: 2nd-Order Lowpass
- •Noise in Sallen & Key Filters: 2nd-Order Highpass
- •Noise in Sallen & Key Filters: 3rd-Order Lowpass Single Stage
- •Noise in Sallen & Key Filters: 3rd-Order Highpass Single Stage
- •Noise in Sallen & Key Filters: 4th-Order Lowpass Single Stage
- •Noise in Sallen & Key Filters: 4th-Order Highpass Single Stage
- •Noise in Multiple-Feedback Filters: 2nd-Order Lowpass
- •Noise in Multiple-Feedback Filters: 2nd-Order Highpass
- •Noise in Tow-Thomas Filters
- •Multiple-Feedback Bandpass Filters
- •High-Q Bandpass Filters
- •Notch Filters
- •The Twin-T Notch Filter
- •The 1-Bandpass Notch Filter
- •The Bainter Notch Filter
- •Bainter Notch Filter Design
- •Bainter Notch Filter Example
- •An Elliptical Filter Using a Bainter Highpass Notch
- •The Bridged-Differentiator Notch Filter
- •Boctor Notch Filters
- •Other Notch Filters
- •Simulating Notch Filters
- •The Requirement for Delay Compensation
- •Calculating the Required Delays
- •Signal Summation
- •Physical Methods of Delay Compensation
- •Delay Filter Technology
- •Sample Crossover and Delay Filter Specification
- •Allpass Filters in General
- •First-Order Allpass Filters
- •Distortion and Noise in 1st-Order Allpass Filters
- •Cascaded 1st-Order Allpass Filters
- •Second-Order Allpass Filters
- •Distortion and Noise in 2nd-Order Allpass Filters
- •Third-Order Allpass Filters
- •Distortion and Noise in 3rd-Order Allpass Filters
- •Higher-Order Allpass Filters
- •Delay Lines for Subtractive Crossovers
- •Variable Allpass Time Delays
- •Lowpass Filters for Time Delays
- •The Need for Equalisation
- •What Equalisation Can and Can’t Do
- •Loudspeaker Equalisation
- •1 Drive Unit Equalisation
- •3 Bass Response Extension
- •4 Diffraction Compensation Equalisation
- •5 Room Interaction Correction
- •Equalisation Circuits
- •HF-Cut and LF-Boost Equaliser
- •Combined HF-Boost and HF-Cut Equaliser
- •Adjustable Peak/Dip Equalisers: Fixed Frequency and Low Q
- •Adjustable Peak/Dip Equalisers With High Q
- •Parametric Equalisers
- •The Bridged-T Equaliser
- •The Biquad Equaliser
- •Capacitance Multiplication for the Biquad Equaliser
- •Equalisers With Non-Standard Slopes
- •Equalisers With −3 dB/Octave Slopes
- •Equalisers With −3 dB/Octave Slopes Over Limited Range
- •Equalisers With −4.5 dB/Octave Slopes
- •Equalisers With Other Slopes
- •Equalisation by Filter Frequency Offset
- •Equalisation by Adjusting All Filter Parameters
- •Component Values
- •Resistors
- •Through-Hole Resistors
- •Surface-Mount Resistors
- •Resistors: Values and Tolerances
- •Resistor Value Distributions
- •Obtaining Arbitrary Resistance Values
- •Other Resistor Combinations
- •Resistor Noise: Johnson and Excess Noise
- •Resistor Non-Linearity
- •Capacitors: Values and Tolerances
- •Obtaining Arbitrary Capacitance Values
- •Capacitor Shortcomings
- •Non-Electrolytic Capacitor Non-Linearity
- •Electrolytic Capacitor Non-Linearity
- •Active Devices for Active Crossovers
- •Opamp Types
- •Opamp Properties: Noise
- •Opamp Properties: Slew Rate
- •Opamp Properties: Common-Mode Range
- •Opamp Properties: Input Offset Voltage
- •Opamp Properties: Bias Current
- •Opamp Properties: Cost
- •Opamp Properties: Internal Distortion
- •Opamp Properties: Slew Rate Limiting Distortion
- •Opamp Properties: Distortion Due to Loading
- •Opamp Properties: Common-Mode Distortion
- •Opamps Surveyed
- •The TL072 Opamp
- •The NE5532 and 5534 Opamps
- •The 5532 With Shunt Feedback
- •5532 Output Loading in Shunt-Feedback Mode
- •The 5532 With Series Feedback
- •Common-Mode Distortion in the 5532
- •Reducing 5532 Distortion by Output Stage Biasing
- •Which 5532?
- •The 5534 Opamp
- •The LM4562 Opamp
- •Common-Mode Distortion in the LM4562
- •The LME49990 Opamp
- •Common-Mode Distortion in the LME49990
- •The AD797 Opamp
- •Common-Mode Distortion in the AD797
- •The OP27 Opamp
- •Opamp Selection
- •Crossover Features
- •Input Level Controls
- •Subsonic Filters
- •Ultrasonic Filters
- •Output Level Trims
- •Output Mute Switches, Output Phase-Reverse Switches
- •Control Protection
- •Features Usually Absent
- •Metering
- •Relay Output Muting
- •Switchable Crossover Modes
- •Noise, Headroom, and Internal Levels
- •Circuit Noise and Low-Impedance Design
- •Using Raised Internal Levels
- •Placing the Output Attenuator
- •Gain Structures
- •Noise Gain
- •Active Gain Controls
- •Filter Order in the Signal Path
- •Output Level Controls
- •Mute Switches
- •Phase-Invert Switches
- •Distributed Peak Detection
- •Power Amplifier Considerations
- •Subwoofer Applications
- •Subwoofer Technologies
- •Sealed-Box (Infinite Baffle) Subwoofers
- •Reflex (Ported) Subwoofers
- •Auxiliary Bass Radiator (ABR) Subwoofers
- •Transmission Line Subwoofers
- •Bandpass Subwoofers
- •Isobaric Subwoofers
- •Dipole Subwoofers
- •Horn-Loaded Subwoofers
- •Subwoofer Drive Units
- •Hi-Fi Subwoofers
- •Home Entertainment Subwoofers
- •Low-Level Inputs (Unbalanced)
- •Low-Level Inputs (Balanced)
- •High-Level Inputs
- •High-Level Outputs
- •Mono Summing
- •LFE Input
- •Level Control
- •Crossover In/Out Switch
- •Crossover Frequency Control (Lowpass Filter)
- •Highpass Subsonic Filter
- •Phase Switch (Normal/Inverted)
- •Variable Phase Control
- •Signal Activation Out of Standby
- •Home Entertainment Crossovers
- •Fixed Frequency
- •Variable Frequency
- •Multiple Variable
- •Power Amplifiers for Home Entertainment Subwoofers
- •Subwoofer Integration
- •Sound-Reinforcement Subwoofers
- •Line or Area Arrays
- •Cardioid Subwoofer Arrays
- •Aux-Fed Subwoofers
- •Automotive Audio Subwoofers
- •Motional Feedback Loudspeakers
- •History
- •Feedback of Position
- •Feedback of Velocity
- •Feedback of Acceleration
- •Other MFB Speakers
- •Published Projects
- •Conclusions
- •External Signal Levels
- •Internal Signal Levels
- •Input Amplifier Functions
- •Unbalanced Inputs
- •Balanced Interconnections
- •The Advantages of Balanced Interconnections
- •The Disadvantages of Balanced Interconnections
- •Balanced Cables and Interference
- •Balanced Connectors
- •Balanced Signal Levels
- •Electronic vs Transformer Balanced Inputs
- •Common-Mode Rejection Ratio (CMRR)
- •The Basic Electronic Balanced Input
- •Common-Mode Rejection Ratio: Opamp Gain
- •Common-Mode Rejection Ratio: Opamp Frequency Response
- •Common-Mode Rejection Ratio: Opamp CMRR
- •Common-Mode Rejection Ratio: Amplifier Component Mismatches
- •A Practical Balanced Input
- •Variations on the Balanced Input Stage
- •Combined Unbalanced and Balanced Inputs
- •The Superbal Input
- •Switched-Gain Balanced Inputs
- •Variable-Gain Balanced Inputs
- •The Self Variable-Gain Balanced Input
- •High Input Impedance Balanced Inputs
- •The Instrumentation Amplifier
- •Instrumentation Amplifier Applications
- •The Instrumentation Amplifier With 4x Gain
- •The Instrumentation Amplifier at Unity Gain
- •Transformer Balanced Inputs
- •Input Overvoltage Protection
- •Noise and Balanced Inputs
- •Low-Noise Balanced Inputs
- •Low-Noise Balanced Inputs in Real Life
- •Ultra-Low-Noise Balanced Inputs
- •Unbalanced Outputs
- •Zero-Impedance Outputs
- •Ground-Cancelling Outputs
- •Balanced Outputs
- •Transformer Balanced Outputs
- •Output Transformer Frequency Response
- •Transformer Distortion
- •Reducing Transformer Distortion
- •Opamp Supply Rail Voltages
- •Designing a ±15 V Supply
- •Designing a ±17 V Supply
- •Using Variable-Voltage Regulators
- •Improving Ripple Performance
- •Dual Supplies From a Single Winding
- •Mutual Shutdown Circuitry
- •Power Supplies for Discrete Circuitry
- •Design Principles
- •Example Crossover Specification
- •The Gain Structure
- •Resistor Selection
- •Capacitor Selection
- •The Balanced Line Input Stage
- •The Bandwidth Definition Filter
- •The HF Path: 3 kHz Linkwitz-Riley Highpass Filter
- •The HF Path: Time-Delay Compensation
- •The MID Path: Topology
- •The MID Path: 400 Hz Linkwitz-Riley Highpass Filter
- •The MID Path: 3 kHz Linkwitz-Riley Lowpass Filter
- •The MID Path: Time-Delay Compensation
- •The LF Path: 400 Hz Linkwitz-Riley Lowpass Filter
- •The LF Path: No Time-Delay Compensation
- •Output Attenuators and Level Trim Controls
- •Balanced Outputs
- •Crossover Programming
- •Noise Analysis: Input Circuitry
- •Noise Analysis: HF Path
- •Noise Analysis: MID Path
- •Noise Analysis: LF Path
- •Improving the Noise Performance: The MID Path
- •Improving the Noise Performance: The Input Circuitry
- •The Noise Performance: Comparisons With Power Amplifier Noise
- •Conclusion
- •Index
Active Crossover System Design 501
cause serious damage by maladjustment—if the highpass cutoff frequency for the HF loudspeakers is adjusted radically downwards, then expensive and gig-cancelling damage is virtually a certainty.
It is therefore common to cover up crossover controls with a panel to prevent tampering; this is sometimes called a “security cover”. This might be a substantial piece of clear plastic (the look-but- don’t-touch approach), or a solid piece of metal which is more robust against impact. It is usually fixed with so-called security screws, but since you can buy sets of drivers for those very easily, we’re not exactly talking Fort Knox here.
Features Usually Absent
There are also some features that, while appearing in many kinds of audio equipment, are rarely if ever found in active crossovers. These include:
Metering
Active crossovers are not usually fitted with comprehensive level metering, as the assumption is that they will be installed in some secluded spot where a visual display will not be seen. Peak-detect or clip-detect indicators can however be useful if there is a possibility of internal clipping. These are dealt with later in this chapter. Signal-present indicators that illuminate some way below the nominal signal level (often at −20 dB) can be useful for fault finding.
Relay Output Muting
Active crossovers are not normally expected to have relay output muting, the function of which is to avoid sending out unpleasant transients at power-up and power-down. Since there are likely to be six outputs, probably balanced, the extra cost of six good-quality two-changeover relays is significant. In sound-reinforcement work, putting mute relays on every piece of equipment is very
much not favoured, as they present one more place for things to go wrong and stop the signal. Thump suppression is normally considered to be the job of the power amplifier output muting relays, which have to be fitted, as one of their most important functions is protection of the loudspeakers from DC fault conditions.
Manual mute switches for each output are however often fitted to sound-reinforcement crossovers to simplify checking and fault finding.
Switchable Crossover Modes
Crossovers intended for sound reinforcement are often constructed so they can be used in several different modes. Figure 17.1 shows the block diagram of a stereo 2-way crossover that can be switched to act as a mono 3-way crossover or as a 2-way crossover with a single mono LF output for a subwoofer.Alternatively a crossover might be switchable between stereo 2-way and mono 3-way crossover, with a wholly separate mono subwoofer output always available.
502 Active Crossover System Design
Figure 17.1: Mode switching in an electronic crossover: it can be used as a stereo 2-way crossover, a mono 3-way crossover, or a 2-way crossover with a mono subwoofer output.
Figure 17.1 has the mode switches in the normal stereo 2-way crossover position, and 2-way outputs are obtained as shown in the left column of the text in Figure 17.1. If the 2-way/3-way switch is operated, then the right input is not used and the input to the right filter block now comes from the highpass output of the left filter block. If the left filter block is set to the LF/MID crossover frequency and the right filter block set to the MID/HF crossover frequency, 3-way outputs are obtained as shown in the middle column of the text in Figure 17.1. This kind of mode switching requires a very wide range of filter frequency variation, as the filter block must be able to cover both LF/MID and MID/HF crossover points.
For mono-sub operation the 2-way/3-way switch is left in its normal position, and the mono-sub switch operated instead. This causes the left LF output to be fed with the mono sum of the two LF outputs from the filter blocks. The right LF output is not used. In this case the left and right filter blocks are set to the same frequency—the crossover point between the two HF outputs and the single LF output. The summing function has to be implemented carefully if crosstalk between the two channels feeding it is to be avoided.
Each filter block is shown with a single frequency control to emphasise that the cutoff frequencies of the highpass and lowpass sections move together; this is usually implemented with a state-variable filter (SVF) that simultaneously gives highpass and lowpass outputs.
More complex mode switching schemes are possible.Astereo 3-way crossover could be switchable to work as a mono four-way or five-way crossover. This is all very ingenious, but it does require a lot of complicated switching and a very clear head when you are setting up all those crossover frequencies.
Manufacturers often warn that mode switches should not be operated while the whole system is active, stating that this can lead to damaging transients; presumably they are worried that you might get a level you don’t expect rather than concerned about minor DC clicks.
Active Crossover System Design 503
Noise, Headroom, and Internal Levels
The choice of the internal signal level in a piece of audio equipment is a serious matter, as it controls both the signal-to-noise ratio and the headroom available before clipping occurs. A vital step in any design is the determination of the optimal signal level at each point in the circuit; there is no reason why you have to stick to the same level in every section. Obviously a real signal, as opposed to a test sine wave, continuously varies in amplitude, and the signal level chosen is purely a nominal level. One must steer a course between two evils:
1.If the signal level is too low, it will be contaminated unduly by noise. The absolute level of noise in a circuit is not of great significance in itself—what counts is how much greater the signal is than the noise—in other words, the signal to noise ratio.
2.If the signal level is too high, there is a risk it will clip and introduce severe distortion.
You will note that the first evil is a certainty, in that there will always be some addition of noise, even if it is insignificant, while the second is a statistical risk.
The wider the gap between the noise level and the clipping level, the greater is the dynamic range. If the best possible signal-to-noise is required for hi-fi use, then the internal level should be high, and if there is an unexpected overload it’s not the end of the world. In sound-reinforcement applications it will often be preferable use a lower internal level, sacrificing some noise performance to reduce the risk of clipping. Heavy clipping, which in an active crossover system can be surprisingly hard to detect by ear, is likely to imperil HF speaker units, though not for the frequently quoted but quite untrue reason that excess harmonics are generated; the real problem is the general rise in level. [1] Later in this chapter we will look at some ways of detecting and indicating clipping.
The internal level chosen depends on the purpose of the equipment. For example, suppose you are designing a mixing console. If it is intended for studio recording, you only have to get the performance right once, but you do have get it exactly right, i.e. with the best possible signal-to-noise ratio, so the internal level is relatively high, very often −2 dBu (615 mVrms), which gives a headroom of about 24 dB. If it is broadcast work intended to air you only have one chance to get it right, and a mildly impaired signal-to-noise ratio is much more acceptable than a crunching overload, so the internal levels need to be significantly lower. The Neve 51 Series broadcast consoles used −16 dBu (123 mVrms), which gives a much increased headroom of 38 dB.Apart from this specialised application, general audio equipment might be expected to have a nominal internal level in the range −6 dBu (388 mVrms) to 0 dBu (775 mVrms), with −2 dBu probably being the most popular choice.
If you have a given dynamic range and you’re not happy with it, you can either increase the maximum signal level or lower the noise floor. The maximum signal levels in opamp-based equipment are set by the voltage capabilities of the opamps used, and this usually means a maximum signal level of about
10 Vrms or +22 dBu. Discrete transistor technology removes this absolute limit on supply voltage and allows the voltage swing to be at least doubled before the supply rail voltages get inconveniently high. For example, ±40 V rails are quite practical for small-signal transistors and permit a theoretical voltage swing of 28 Vrms or +31 dBu. However, in view of the complications of designing your own discrete circuitry and the greater space and power it requires, the extra 9 dB of headroom is bought at a high price. You will need a lot more PCB area, and of course the specialised knowledge of how to design discrete transistor stages. My book Small Signal Audio Design will be of considerable help
504 Active Crossover System Design
with the latter. [2] If you plan to use signal levels as high as 28 Vrms, you might want to consider what that will do to opamp circuitry downstream if applied directly; it is likely to end badly. Attenuators at the very outputs of the crossover can remove this danger by reducing the high internal maximum level of 28 Vrms to a safe 10 Vrms; since the noise will be attenuated by the same amount as the signal,
the advantage of the high internal level is preserved. This technique is also useful with all-opamp crossover designs and is described in detail later.
Acurrent example of a crossover with all-discrete circuitry in the signal path is the Bryston 10B. [3]
Circuit Noise and Low-Impedance Design
Increasing the dynamic range by reducing the noise levels in the circuitry is more practical (and in general a good deal cheaper), but there are some quite restrictive limits on how much you can do this. Adopting low-impedance design—in other words using the lowest resistor values you can without creating extra distortion by overloading the opamps—will reduce the Johnson noise the resistors generate and the effects of opamp current noise flowing in them. It also makes the circuit more immune to capacitive crosstalk and interference pickup. However, Johnson noise is proportional to the square root of the resistance, and so moving from 10 kΩ to 1 kΩ will only reduce the noise by 10 dB (√10 times) rather than 20 dB (10 times).Areduction of 10 dB is nevertheless very well worth having. Things get more difficult if you want to reduce the impedance levels further, as opamp distortion will start to increase due to the heavier loading.
This can be countered by using opamps in parallel to increase the drive capability, assuming you’re not designing to the absolute minimum cost. Two opamps working together allow the circuit impedances to be halved, giving us another 3 dB improvement, while four opamps allow them to be halved again, giving 6 dB less noise. This is going to be about as far as it is economical to go unless you’re designing really gold-plated gear, so we have a total Johnson noise improvement from low-impedance design of 16 dB.
Johnson noise is however only one component of the circuit noise, the other two important contributions coming from the voltage noise and the current noise of the active devices. Reducing the circuit impedances reduces the effect of current noise—proportionally this time, as the current noise only manifests itself when it causes a voltage drop across an impedance. Voltage noise is a tougher proposition to reduce, the options being (a) shell out for quieter and more expensive active devices;
(b) make use of opamps in parallel again. If two opamp stages of the same gain are connected together by low-value resistors (say 10 Ω), then at their junction you get the average of the two outputs, so the signal level is unchanged, but the noise drops by 3 dB (1/√2), as the two noise components are uncorrelated and so partially cancel. Four opamp stages give a 6 dB improvement. This technique obviously goes extremely well with using opamps in parallel to allow circuit impedance reduction and can make for some very neat and effective circuitry.
Using Raised Internal Levels
When setting the internal levels of an active crossover, a great deal depends on the way that it is going to be built into the overall system. If the crossover is running directly into power amplifiers with no
Active Crossover System Design 505
intermediate level control, it can be guaranteed that the output of the power amplifier will clip long before the crossover outputs, as even the most insensitive amplifiers are unlikely to need more than +8 dBu (2 Vrms) to drive them fully. It therefore occurred to me that it would be quite safe to raise the crossover internal level to 2 Vrms, which would theoretically give a 10 dB better signal-to-noise than the often-used −2 dBu level. That is a significant improvement.
As an example, look at Figure 17.2a, where the crossover is operating with an internal level of 0 dBu throughout, which is also the input required by the power amp. Only one of the paths through the crossover is shown. There is a unity-gain input amplifierA1 which has a noise level of −100 dBu (the input is assumed to be completely noise-free; keeping down the noise level from the preamplifier is someone else’s problem). The filters, etc of the crossover have a noise level of−85 dBu, and when this is summed with the −100 dBu fromA1 we get −84.9 dBu at the crossover output; the noise from A1 makes only a tiny contribution. The signal is then passed directly to the power amplifier, and our signal-to-noise ratio is 84.9 dB.
An elevated internal level +8 dBu (2 Vrms) is used in Figure 17.2b, input amplifierA1 having a gain of +8 dB. The noise out fromA1 is now −92 dBu, and with the −85 dBu of noise from the crossover filters added, the total is −84.2 dBu.Apassive 8 dB output attenuator R1, R2 then reduces the signal level back to the 0 dBu required by the power amplifier, and the noise is also reduced by 8 dB, giving us −92.5 dBu at the amplifier input. The signal-to-noise ratio has increased from 84.9 dB to 92.5 dBu, an improvement of 7.6 dB. We do not get the whole 8 dB because of the increased noise from input amplifierA1.
An elevated internal level not only makes the signal more proof against noise as it passes through the signal chain but also against hum and other interference, though a good design should have negligible levels of these last two anyway.
You will note that I specified a passive output attenuator, so that the very low noise output is not compromised by an opamp stage after it. The attenuation can be made variable to give an output level trim control, working over perhaps a ±3 dB range. Given opamps with good load-driving capability, it is possible to make the passive attenuator with low resistance values so the output impedance is still acceptably low for driving long cables. The attenuator values shown in Figure 17.2b give an output impedance of 166 Ω, which is not perhaps to the highest professional standards but quite good enough for a domestic installation with limited cable runs. The load on the last opamp in the crossover is 700
Ω, which is high enough to prevent significantly increased distortion from a 5532 stage. There is more on such output networks, and how they can be combined with balanced outputs, later in this chapter.
There is an assumption here that the crossover is mostly composed of unity-gain circuitry such as the standard Sallen & Key filters. This is not always true—if you are using equal-C Sallen & Key Butterworth filters, then each 2nd-order stage has a gain of +4.0 dB, and this will have to be dealt with somehow. Equalisation circuitry may have gains greater than this at some frequencies, with a
corresponding reduction in headroom; this applies particularly to equalisers intended to extend the LF speaker unit response, which may have gains of +6 dB or more.
However, let’s take it a little further. If our power amplifier clips with an input of 0 dBu, which corresponds to a crossover internal level of +8 dBu (2 Vrms), then as far as the crossover is concerned there is a range of signal levels from 2 Vrms to 10 Vrms (opamp maximum output) that is unusable.
That is a 14 dB range. The effective signal-to-noise ratio could be further improved if the crossover ran
