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 Sampling theory, the best explanation you’ve ever heard—Part 3
 Sampling theory, the best explanation you’ve ever heard—Part 2
 Sampling theory, the best explanation you’ve ever heard—Part 1
 Sampling theory, the best explanation you’ve ever heard—Prologue
 Amp simulation oversampling
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 Filter frequency response grapher
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Category Archives: Widgets
Filter frequency response grapher
Here’s a tool that plots frequency response from filter coefficients. Hz linearlog 10log 2 Plot auto40 dB30 dB20 dB10 dB0 dB10 dB20 dB30 dB40 dB Max 60 dB80 dB100 dB120 dB140 dB160 dB180 dB Range a coefficients (zeros) b coefficients … Continue reading →
Cascading filters
Sometimes we’d like to cascade biquads to get a higher filter order. This calculator gives the Q values for each filter to achieve Butterworth response for lowpass and highpass filters. Order: 234567891011121314151617181920 Q values: You can calculate coefficients for all biquad … Continue reading →
PoleZero placement v2
Pair Pole mag Pole angle Pair Zero mag Zero angle Sample rate (Hz) linearlog Plot A new polezero calculator An JavaScript remake of the old Javabased polezero placement applet—visit that page for tips on polezero locations for standard biquads. The … Continue reading →
Biquad calculator v2
Type:lowpasshighpassbandpassnotchpeaklow shelfhigh shelfonepole lponepole hp Plot:linearlog Sample rate (Hz) Fc (Hz) Q Gain (dB) Here’s an update of the biquad calculator. It adds onepole highpass and lowpass filters, and frequency, Q, and gain sliders. The sliders cover the range of … Continue reading →
Envelope generators—ADSR widget
Attack Decay Sustain Release Attack Curve Decay/Release Curve Plot:linearlog This is the widget I used in making the ADSR video. It’s a JavaScript recreation of my C++ source code.
A biquad calculator
Something useful: a biquad filter coefficient calculator… Continue reading →
A closer look at upsampling filters
Interpolation type:NoneZeroorder holdLinearSinc 1Sinc 2Sinc 3 Show impulse response Sweep! In this demonstration, we generate a sine wave sweep from low in the audio band to near the Nyquist Frequency, which is half the sample rate. You can view it … Continue reading →
Posted in Aliasing, Digital Audio, Filters, FIR Filters, Impulse Response, Sample Rate Conversion, Widgets

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Building a windowed sinc filter
As promised, here’s our windowed sinc calculator for building a 2x oversampling filter: Factor Length Rejection Gain Notes: Use the Tab or Enter keys to effect changes (most browsers), or press Calculate. The frequency axis is in multiples of the … Continue reading →
Posted in Digital Audio, Filters, FIR Filters, Impulse Response, Sample Rate Conversion, Widgets

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PoleZero placement
Use the new, improved polezero calculator—but be sure to read the “Experiments with standard biquads” section below for tips on placing poles and zeros for standard filters. Here’s a Java applet that illustrates polezero placement. It lets you design a … Continue reading →