Signals and Systems: Signal classification and operations · Types of Signals and Time Operations
How engineers sort signals (continuous or discrete, periodic, even or odd, energy or power) and reshape them by shifting, scaling and reversing time.
Try 3 questions
1. What defines a continuous-time signal?
- It has a value at every instant in an interval
- It has a value only when something changes
- It has values only at evenly spaced instants
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Answer: It has a value at every instant in an interval
A continuous-time signal x(t) is defined for every real t in its domain, unlike a discrete-time signal x[n], which exists only at integer indices.
2. A sensor voltage is sampled every millisecond but not yet rounded to fixed levels. What kind of signal is this?
- Continuous-time with discrete amplitude
- Discrete-time with continuous amplitude
- Fully digital in both time and amplitude
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Answer: Discrete-time with continuous amplitude
Sampling makes time discrete, but the amplitude stays continuous until it is quantized to a finite set of levels.
3. What makes a signal digital rather than merely discrete-time?
- Its amplitude takes only a finite set of values
- It is stored inside a computer chip
- It is sampled at a very high rate
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Answer: Its amplitude takes only a finite set of values
A digital signal is discrete in both time and amplitude; quantization restricts each sample to one of a finite number of levels.
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