A satellite allocates a frequency band from 930 MHz to 980 MHz for transmission of digitized signals. Multiple audio signals, each made up of 2 stereo channels with a highest frequency of (N+3) kHz, must be sampled at 1,6x the minimum alias-free rate and digitized with 10-bit accuracy. The resulting PCM signals must then be combined by TDM and transmitted from the satellite using QAM modulation of a single carrier. (a) What bit rate is required for a single audio signal? (b) If minimum-bandwidth pulses are used to carry the data, what is the maximum symbol rate allowed by the allocated bandwidth? (c) If 64-QAM format is used, what is the maximum bit rate that can be transmitted? (d) If 64-QAM format is used, what is the largest number of audio signals that can be supported? (c) If noise is found to create excessive bit errors, choose a format other than 64-QAM that should do better, and find the largest number of audio signals that can be sent with your chosen format.
Quantization and Resolution
Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.
Probability of Error
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