Homework
1. Find the Amplitude, fundamental period, frequency and phase for the following sine wave
a. s1(t)= 10sin(2000πt+π/3)
b. s2(t)= sin(5πt-π)
2. Plot the following signals
a. sin(2πt) , b. sin(2πt+π/2), c. sin(2πt+π), d. sin(2πt+3π/2)
3. Calculate the wavelength of the signal of sin(200kπt+π/3) with the propagation speed of 3000m/s
4. Plot the frequency component of signal 4sin(200πt+π/3) + sin(10πt-π)
What is the bandwidth of this signal?
5. What is the bit rate for the given digital signal in Figure
6. What is the channel capacity for a teleprinter channel with a 300-Hz bandwidth and a signal-to-noise ratio of 3 dB?
Shannon's equation: C = B log2 (1 + SNR), SNRdb=10 log10 (SNR)
7. A digital signaling system is required to operate at 14400 bps.
If a signal element encodes a 4-bit word (M=24=16), what is the minimum required bandwidth of the channel? Using Nyquist's equation: C = 2B log2M.