In FFT-based compression, the compression ratio increases when:

Aggressive compression in your project results in

The analog Butterworth and Chabyshev filters have their poles on an ellipse in the s-plane. 

Removing high-frequency components in your project primarily affects:

The magnitude of the Discrete-time Fourier transform (DTFT) of  x(n)= 4(u(n)-u(n-8))   (where u(n) is the unit step) is (407a1.2):

Use analog filter approximation theory to convert a first-order R-C lowpass circuit with cutoff frequency 2 rad/sec and T=1  to a digital filter using the impulse invariance method. Here T is the sampling period. The difference equation of the resulting filter is (407c.1):

Give the poles and zeros of the causal filter represented by the impulse response (407a1.1): h(n) = δ(n) + δ(n-1) + δ(n-2)

Give the steady state response of the causal filter H(z) to the input x(n)=3 sin(πn/6) H(z) = 1 + z-6 The steady-state response of H(z) is:

Design a simple highpass FIR filter with linear phase.  The filter operates with a sampling frequency of 128 kHz and a cut-off frequency of 16 kHz. The ideal impulse response h(n) is (407c2.2):

The following causal filter is excited by white noise x(n) of zero mean and unit variance The mean value of y(n) is :