From Continuous Time to DiscreteTime
Learn how to acquire digital samples from continuous-time signals.
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Most signals in real life, e.g., heartbeat, brain waves, sound, music, wireless communication waveforms, etc., are continuous-time signals. To process such a signal using DSP techniques, it must be converted into a sequence of numbers. This can be done through the process of periodic sampling with the help of a device known as an analog-to-digital converter (ADC).
Time domain
Consider an analog signal as a function of time shown in the figure below. Then drawn in the figure is the spectrum of this signal.
For digital signal processing, this signal needs to be converted into a series of samples, i.e., into a discrete-time version . This can be accomplished by sampling at regular intervals of seconds. This process is mathematically represented as:
The time interval denoted by ...