Challenge20_FIR0 - which is a 180 phase shift. Experimental...

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Digital Signal Processing Dr. Fred J. Taylor, Professor Lesson Title: FIR Filter – Linear Phase Lesson Number: [20] CHALLENGE Linear Phase FIR A N=21 (odd order), Type-1 even symmetry FIR has an impulse response h[k] = {0.0, 0.1, 0.2, … , 0.9, 1.0, 0.9, … , 0.2, 0.1, 0.0}. Q. Suppose the FIR is clocked at 100k Sa/s and the input is x[k]=cos( f 0 kT s ) where f 0 =5kHz. The FIR’s output is the form y[k]=Acos( f 0 kT s + φ ). What is value of φ? Answer: Analysis The group delay is τ =10 samples meaning that the signal delay is τ =10 Ts seconds regardless of the input frequency. The input signal x[k] operates at a frequency of f 0 =5kHz having a period equal to T 0 =1/5kHz = 0.2 ms = 20T s . The group delay is therefore equal to ½ the signal’s period
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Unformatted text preview: which is a 180 phase shift. Experimental study. The 2-sided frequency response of the FIR is shown below (magnitude response, phase response, and group delay). The normalized frequency axis range from [- , ). Introduction to FIRs - 1 Digital Signal Processing Dr. Fred J. Taylor, Professor The input signal and FIR output are displayed below where the x-axis is displayed in samples. It can be seen that there is a 10 sample difference between input and output and it corresponds to a 180 degree phase shift. Introduction to FIRs - 2 Digital Signal Processing Dr. Fred J. Taylor, Professor Introduction to FIRs - 3...
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Challenge20_FIR0 - which is a 180 phase shift. Experimental...

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