Suppose a continuous signal has components between 100HZ and 200HZ (in other places zero). Let this Fourier Transform be given by X(N) = 2 (N – 100) in this interval. (a) What should the sampling period be in order to sample this signal without loss. (b) Suppose this signal is the impulse response of a system. Implement this system using a discrete-time system. Show all the details.

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Analog to Digital Converters

The analog-to-digital converter (ADC) allows circuits controlled by microprocessors, Arduinos, Raspberry Pi, and various reasonable digital circuits to be connected to the real world. In the real world, analog signals have a continuous stream of information from a variety of sources and sensors capable of measuring sound, light, temperature, or movement, in addition to the many digital systems that interact with their environment by measuring analog signals from those transducers.