Question
A communication system uses the following set of two signal waveforms: s1(t) = sqr root(A)g(t)cos 2pi fc(t), s2(t) = sqr root(-A)g(t)sin 2pi fc(t) where A
A communication system uses the following set of two signal waveforms: s1(t) = sqr root(A)g(t)cos 2pi fc(t), s2(t) = sqr root(-A)g(t)sin 2pi fc(t) where A is a positive constant, cf is the carrier frequency and g t( ) is a real-value lowpass pulse signal with energy E g . The signal waveforms are transmitted at every 0.1 ms from the transmitter, and the noise power spectral density is N/2 . (a) Determine the symbol rate and bit rate for the system. (b) Determine the corresponding lowpass equivalent signals, I-signals, and Q-signals for the signal waveforms. (c) Determine a set of orthonormal signals for the given signal waveforms by the Gram-Schmidt procedure. (d) Determine the vector representation of the signal waveforms based on the above orthonormal basis signals, and plot the signal constellation. (e) Determine the distance of the two signal waveforms. (f) Determine the average energy of the signal waveforms, and then determine the average transmission power at the transmitter. (g) Determine the SNR per symbol for the system.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access with AI-Powered Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started