ECE405HW8Su2010 - ECE 405 HOMEWORK #8 SUMMER 2010 DR. JAMES...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ECE 405 HOMEWORK #8 SUMMER 2010 DR. JAMES S. KANG 1 Suppose that for binary 1, h(t) is transmitted and for binary 0, h(t) is transmitted. Find the autocorrelation function and the power spectral density when h(t) = e at u(t), 0 t T and h(t) = 0 elsewhere, where 0 < a < 1. 2 Let 2, 0 / 2 ( ) 1, / 2 0, t T h t T t T elsewhere = < (a) Find and plot the autocorrelation function R H ( ) of h(t). (b) Find the Fourier transform H(f) of h(t). (c) Suppose that binary message 1 is transmitted by h(t) and binary 0 is transmitted by h(t). Let the resulting signal be m(t). Find the autocorrelation function ( ) M R of m(t). (d) Find the power spectral density S M (f) of m(t). (e) Let y(t) be the product of m(t) and A c cos( c t). Find the autocorrelation function ( ) Y R of y(t). (f) Find the power spectral density S Y (f) of y(t). (g) What is the null-to-null bandwidth of y(t)? 3 A computer outputs binary symbols at a 56 kbits/s rate. Find the baseband bandwidths required for transmission for each of the following roll-off factors if sinusoidal roll-off spectral...
View Full Document

Page1 / 3

ECE405HW8Su2010 - ECE 405 HOMEWORK #8 SUMMER 2010 DR. JAMES...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online