pcshw5 - analytically (and justify any assumptions). 4....

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
THE STATE UNIVERSITY OF NEW JERSEY RUTGERS College of Engineering Department of Electrical and Computer Engineering 332:322 Principles of Communications Systems Spring 2004 Problem Set 5 Reading: Haykin 3.1–3.4 1. Nyquist 101: Specify the Nqyusit rate and Nyquist interval for each of the following signals. Note that sinc ( x ) sin( πx ) πx . (a) g ( t ) = sinc (200 t ) (b) g ( t ) = sinc 2 (200 t ) (c) g ( t ) = sinc (200 t ) + sinc 2 (200 t ) 2. Nyquist 102: Suppose we have samples of a signal a k = g ( k Δ) where Δ is shorter than the Nyquist interval for the bandlimited function g ( t ) . Derive an explicit time-domain expres- sion for how we recover the function g ( t ) from the samples { a k } . 3. Nyquist Grad School: Does the Nyquist Sampling Theorem apply to strictly time limited signals? If not why not? If so, why? This problem is a bit subtle so think carefully and
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: analytically (and justify any assumptions). 4. Pulse Modulation (a) What is Pulse Amplitude Modulation? Provide a pictorial example. (b) What is Pulse Position Modulation? Provide a pictorial example. (c) What is Pulse Frequency Modulation? Provide a pictorial example. (d) What is Pulse Width Modulation? Provide a pictorial example. (e) Consider a full wave rectied AM signal r ( t ) = m ( t ) cos 2 f c t where we assume m ( t ) t . Assuming the highest frequency content of m ( t ) is much less than f c , can r ( t ) be considered the approximate result of a pulse modulation method applied to m ( t ) ? If so, which one? 5. Problem 3.5 in Haykin 1...
View Full Document

This homework help was uploaded on 04/03/2008 for the course ECE ECE332 taught by Professor Rose during the Spring '08 term at Rutgers.

Ask a homework question - tutors are online