EE3008 Assignment I Consider the following bipolar signal s(t) using rectangular pulses with amplitudes ±0.5 volts and transmitting rate 10 kb/sec. (a)Determine the value of Tabove and answer the follows. 1)Find and plot the energy spectrum of the first pulse in Fig.1. 2)Find the expression of |S(f)|2, the energy spectrum of s(t). (No need to plot.) 3)Fine the power spectrum of s(t) (Hint: It is |S(f)|2divided by 6T). 4)Now assume that Kpulses are transmitted and the signs of these pulses are randomly selected from +1 and -1. Find the power spectrum of s(t) for K→∞and plot it. (Hint: Read Tutorial 2.) A matched filter receiver diagram is shown in the figure below. The frequency domain response of the filter is 44410()10sinc(10)jfHffeππ−−−−××=××××volts/Hz.( )m t( )r t(b)Determine the impulse response h(t) of the filter. (c)Consider the noise-free case, i.e., r(t)=s(t). 1)Determine and plot the filter output m(t) for s(t) in Fig.1. (Hint: ( )( )( )( )ttTm tr th tr u du−=∗=∫)2)Plot the power of m
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