problems2

# problems2 - The block comprising the waveform modulator the...

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

Digital Modulation 1 - Problem Set 2 Problem 1 (Binary pulse amplitude modulation) Consider a binary digital communication system employing the following mapping from source symbols to waveforms, where A > 0: 0 m→ s 1 ( t ) := b A for t [0 , T ), 0 otherwise, 1 m→ s 2 ( t ) := s 1 ( t ) . 1. Determine the canonical decomposition of the transmitter. Draw the signal con- stellation of this scheme. 2. Determine the optimum waveform demodulator for the AWGN channel. 3. Determine and plot the conditional probability density functions of the demodu- lator output Y given X = x , for all x from the signal constellation. 4. Implement the vector representation of the BPAM system in Matlab. Compute some received values y by simulation and determine a histogram of those values. Problem 2 (AWGN vector channel) Consider a digital communication system system transmitting over an AWGN channel.
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: The block comprising the waveform modulator, the AWGN channel, and the waveform demodulator is equivalent to an AWGN vector channel (see lecture notes). Show that the components of the noise vector W = [ W 1 , W 2 , . . . , W D ] T are uncorre-lated, i.e., that E[ W j W k ] = 0 for j n = k . Remark: If the components are Gaussian and uncorrelated, they are independent. And thus, W is indeed a white Gaussian noise vector. Problem 3 (On-of keying) Consider a binary digital communication system employing the following mapping from source symbols to waveforms, where A > 0: m→ s 1 ( t ) := 0 , 1 m→ s 2 ( t ) := b A for t ∈ [0 , T ), otherwise. Repeat the questions from the BPAM problem above for this modulation scheme. BFl, TPe. Digital Modulation 1 NavCom...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online