275final

# 275final - desired Ω c Generate the IIR digital ﬁlter using the bilinear transformation Plot frequency responses using freqs and freqz Comment

This preview shows pages 1–4. Sign up to view the full content.

FINAL EXAM Tuesday, November 29, 2005 Due: Friday December 9, 2005, by 3:00 p.m. Do All Problems. Please write clearly. NAME 1. 2. 3. 4. 5. 6. 7. 8.

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

View Full Document
1. (Zero-phase condition for causal digital ﬁlters) (i) Chapter 7, problem 7.4. For the given h [ n ], generate the corresponding H ( e ) and show the conditions neces- sary for H ( e ) to have zero phase. 2. (Transfer functions with similar amplitude response) (i) Chapter 7, problem 7.5. 3. (Transfer functions that are linear phase, minimum phase and maximum phase) (i) Chapter 7, problem 7.8(i) only.
4. (FIR transfer functions with similar amplitude response) (i) Chapter 7, problem 7.9(a). 5. (FIR causal ﬁlter and constant group delay constraints) (i) Chapter 7, problem 7.11. 6. (Simple FIR ﬁlter design problem) (i) Chapter 7, problem 7.15.

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

View Full Document
7. (IIR ﬁlter design) (i) Chapter9, Section 9.2.2. Implement the ﬁrst-order Butterworth ﬁlter design, starting on p. 496 and ending on p. 497, Text. For the analog ﬁlter equation (9.19) choose any
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: desired Ω c . Generate the IIR digital ﬁlter using the bilinear transformation. Plot frequency responses using freqs and freqz . Comment on any speciﬁc diﬀerences between the two frequency responses. 8. (Gibbs phenomena, windowing and FIR ﬁlter design) (i) Chapter 10, Section 10.9, Problem M 10.1. For the equation 10.6 referred to, generate N = 2 M + 1 values of the impulse response, using the range-M : M . Use the cut-oﬀ frequency ω c = 0 . 4 π . You might wish to calculate the impulse response using the sinc function where sinc ( x ) = sinπx πx Obtain the frequency response (DFT) of this ﬁlter and plot the absolute value, using M=5 and 20. Explain the frequency response for the range-π, + π . That is, show the cut-oﬀ fre-quency ω c = 0 . 4 π and explain the associated Gibbs phenomena....
View Full Document

## This note was uploaded on 07/18/2011 for the course EE 275 taught by Professor Koppelman during the Spring '11 term at LSU.

### Page1 / 4

275final - desired Ω c Generate the IIR digital ﬁlter using the bilinear transformation Plot frequency responses using freqs and freqz Comment

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online