Problem 1: A baseband pulse modulation system uses the antipodal signals s1(t) and s2(t) to represent symbols 1 and 0, respectively. Find suitable basis functions for these signals and express s1(t) and s2(t) in terms of them. Sketch the resulting signal space diagram. If a correlation receiver is used to extract the binary data symbols, then derive a formula for estimating the probability of error in terms of the signal energy per bit E, and the one-sided noise power spectral density N. s1(t) s2(1) A A T,12 T |T,/2 -A -4

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A baseband pulse modulation system uses the antipodal signals s (t) and s2(t) to represent symbols 1 and 0, respectively. Find suitable basis functions for these signals and express s1(t) and s2(t) in terms of them. Sketch the resulting signal space diagram. If a correlation receiver is used to extract the binary data symbols, then derive a formula for estimating the probability of error in terms of the signal energy per bit E, and the one-sided noise power spectral density N. s1(t) s2(t) A T/2 T T/2 -4
Problem 1: A baseband pulse modulation system uses the antipodal signals s1(t)
and s2(t) to represent symbols 1 and 0, respectively. Find suitable basis functions
for these signals and express s(t) and s2(t) in terms of them. Sketch the resulting
signal space diagram. If a correlation receiver is used to extract the binary data
symbols, then derive a formula for estimating the probability of error in terms of
the signal energy per bit E,, and the one-sided noise power spectral density N.
$1(t)
s2(1)
A
A
t
T12
T/2
-A
Transcribed Image Text:Problem 1: A baseband pulse modulation system uses the antipodal signals s1(t) and s2(t) to represent symbols 1 and 0, respectively. Find suitable basis functions for these signals and express s(t) and s2(t) in terms of them. Sketch the resulting signal space diagram. If a correlation receiver is used to extract the binary data symbols, then derive a formula for estimating the probability of error in terms of the signal energy per bit E,, and the one-sided noise power spectral density N. $1(t) s2(1) A A t T12 T/2 -A
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Pulse Analog Modulation (Pulse Amplitude Modulation [PAM], Pulse Width Modulation [PWM], Pulse Position Modulation [PPM])
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