Study Questions: Linear Systems Theory I

1. Define an auditory signal. Name two possible descriptions of such a signal as a weighted sum of a small set of signals. What is the Fourier transform?

2. What is a sine wave? Describe the properties of a sine wave.

3. (a) Sketch a sine wave signal. (b) Sketch a sine wave with higher frequency than in (a). (c) Sketch a sine wave with lower amplitude than in (a). (d) Sketch a sine wave with different phase than in (a), but otherwise identical.

4. How can one construct all kinds of visual patterns using sine wave signals.

5. What is a system that processes auditory signals? Describe the three properties that define a linear, shift-invariant system.

6. What is a modulation transfer function? How is it measured?