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The output depends on any current, past, or future input. (EQ, reverb, delay, etc.) 


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The output is not dependent on any current, past, or future input (predelay) 


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Linear Time Invariant Filter (LTI) 

Definition
A digital filter where there is no harmonic distortion clipping, no intermodulation distortion, both linear and time invariant, is causal. 


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LTI filter, both linear and timeinvariant. 


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A time domain signal that has as high of an amplitude as possible at 0, but has zero amplitude. Characterized by a loud, short sound. The shorter the signal, the wider the spectrum & vice versa. 


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The response to an impulse, that contains all frequencies in an response at equal amplitudes. Works in the time domain. 


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The sum of every sample of the input signal, multiplied by the sum of every sample of the impulse, added together, produces a convolved signal.
Convolved signals will be either scaled or delayed
The output of the convolved signal should be N+M1, where the length of output signal is one sample shorter than the sum of the lengths of the two convolved signals put together. 


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Convolution in the time domain is equal to multiplication in the frequency domain. 


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Definition
1) Two signals are convolved together in the time domain 2) An FFT occurs to bring the two signals into the frequency domain 3) They are multiplied together; essentially convolving them 4) An IFFT occurs to bring the convolved signal back into the time domain. 


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Definition
A simple delay, which is added together towards the output Z^1
*Multiplied by x[n] 


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Coefficients are subtracted together from the output.
*Multiplied by y[n] 


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Definition
Noncausal, LTI, Direct Form II
y[n] = [the sum of all feed forward] coefficients] x[ni]  [the sum of all feedback coefficients] y [nj] 


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Finite Impulse Response Filter (FIR) 

Definition
A feedforward only filter. 


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Infinite Impulse Response Filter (IIR) 

Definition
A feeback filter, that is potentially unstable. 


Term

Definition
1st order = y[n] = x[n] + x[n1]
2nd order = y[n] = 0.5x[n]  0.5 


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Impulse Response Equation 

Definition
x = [1 0 0 0 0 0 0 0 0 0] 


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Steady State Filter Response 

Definition
A stable input will produce a consistent output. 


Term

Definition
an infinite impulse will produce and unstable, infinite response. IIR Filter. 


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Transient Time (Decay TIme) 

Definition
The T60 of an impulse for an IIR Filter. The filter order divided by the sample rate for a FIR Filter. 


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Definition
The distance from peak to peak. 


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Center Frequency (fcenter, Q), Resonant Frequency 

Definition
One frequency is accentuated, while all others are sharply cutoff; determines the type of filter. 


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Measuring the bandwidth of a filter 

Definition
fcenter / bandwidth
Higher bandwidth = the smaller the center frequency will be, producing a duller filter.
Lower bandwidth = higher center frequency and a sharper filter. 


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Definition
Quadratic Equation / Quadratic Equation 


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Definition
All frequencies are cancelled out at evenly spaced frequencies.
[1 0 0 0 0 0 0 0 0 0 0] = evenly spaced frequencies, close together [1 0 0 0] = widely spaced apart frequencies 


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