Challenge20_FIR0

# Challenge20_FIR0 - which is a ± 180 ° phase shift...

This preview shows pages 1–3. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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 ω∈ [-π , π ). 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...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

Challenge20_FIR0 - which is a ± 180 ° phase shift...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online