"Always study for life not for exam! Consider the following equally likely binary pulses and coherently detected over a Gaussian channel with = 0.1 watts/Hz. 2 3₁(1) 0 a) Find the probability of bit error. [3] b) Find the probability of error if the noise is doubled. [2] c) Find the required noise spectral density, No, if the required probability of bit error is 0.5 x 10-9. [3] d) Draw the diagram of an optimal receiver, label the diagram! [2]
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- 4. The information in an analog voltage waveform is to be transmitted over a PCM system with a F 0.2% accuracy (full scale). The analog waveform has a bandwidth of 200 Hz, and an amplitude range of -5 to +5 V. determine the following: - The minimum sampling rate needed. - The number of bits needed in each PCM word. - The minimum bit rate in the PCM signal. - The minimum channel bandwidth for transmission of this PCM signal.What is the frqcy of recovered signal? Is is the same with information and carrier signal? Please explain. 1st waveform: Carrier signal (2Vpk,20kHz) 2nd waveform: Information signal (1Vpk,1kHz) 3rd waveform: Recovered signalexplain the working of phase shift method of generating SSB signal.
- 1. With the help of Octave program perform the Modulation and Demodulation (AM) of information signal with carrier signal, through subplots with following signals a. Modulating signal b. Modulated signal c. Demodulated signalFor a binary unipolar signal, the received signal voltage has a maximum value of 4mV. The rms noise Voltage is 0.5mV, then signal to noise ratio and bit error probability are respectivelyAn analog signal with a bandwidth of 4.2 MHz is to be converted into binary PCM and transmit- ted over a channel. The peak-signal quantizing noise ratio at the receiver output must be at least 55 dB. (a) If we assume that P=0 and that there is no ISI, what will be the word length and the number of quantizing steps needed? (b) What will be the equivalent bit rate? (c) What will be the channel null bandwidth required if rectangular pulse shapes are used?
- A 450 kHz carrier signal is modulated with a 15 kHz modulating signal. What are its sideband frequencies?For delta modulator, the number of bits transmitted per sample is A. 1 bitB. 4 bitsC. 2 bitsD. None of the aboveThe information in an analog signal voltage waveform is to be transmitted over a PCM system with an accuracy of : 0.1 % of the peak-to-peak analog signal. The analog voltage waveform has a bandwidth of 43 Hz and an amplitude range of - 10 to 10 Vots. Determine the minimum bit rate fin bps) required in the PCM system? O a 688 O 774 O c 387 O d 86 Oe 258
- For pulse code modulator, how many bits transmitted per sample if a uniform quantizwer with 256 levels is used?(a) Draw a QPSK waveform for 11010010 (b) Draw a Multilevel FSK (M = 4) for the same bitstream as in (a).7) Suppose we have a message signal that is a sinusoid and we quantize it using a quantizer of L levels. Assuming that the quantization error for each sample is uniformly distributed in the interval , determine the signal to quantization noise ratio (SNR) in terms of L. Determine the SNR in terms of L if the message is changed to a triangular wave, again assuming that the errors are uniformly distributed.