Final answer:
The question asks to analyze a defined discrete-time signal under various transformations including shifts and reflections, and then find the range of values for n where the signal is zero. By considering the given signal x[n], which is zero outside n = -2 to n = 4, one can determine the new ranges where the transformed signals are zero.
Step-by-step explanation:
The question pertains to the analysis of discrete-time signals and their transformations. Specifically, we are given a signal x[n], which is non-zero only between n = -2 and n = 4. The task is to find the values of n for which the transformed signals x[n-3], x[n+4], x[-n], x[-n+2], and x[-n-2] would be zero, and to potentially plot these signals using MATLAB. The transformed signals undergo time shifts and reflections, affecting the range of n for which the signals are non-zero.
To understand the effects of these transformations, we can visualize the shifts in domain. For instance:
- For x[n-3], the signal shifts to the right by 3 units, making it zero for n not in the range of 1 to 7, inclusive.
- x[n+4] shifts to the left by 4 units, so it is zero for n outside the range of -6 to 0, inclusive.
- x[-n] is a reflection about the origin, resulting in a non-zero range from -4 to 2.
- x[-n+2] combines a reflection and a shift to the right by 2, resulting in a non-zero range from -2 to 4.
- x[-n-2] is similar to x[-n+2], but shifts to the left instead, resulting in a non-zero range from -6 to 0.