ECE 313 Linear Systems and Signals - Mini Project #1 Hints - Fall 2025ΒΆ
Scope and format are described at the bottom of the homework hints page.
Redundancy of negative frequencies. For a real-valued signal, the Fourier series coefficients are conjugate symmetric, meaning that \(a_{k}\) is the complex conjugate of \(a_-k\). This property can be exploited to reduce the number of pixels required by the image representation.
Converting between color representations. The imread and imwrite functions operate on \(m \times n \times 3\) arrays, where the last dimension represents the red, green, and blue color channels. When creating your color mapping operation \(C\) and its inverse \(C^{-1}\), you might find it helpful to use another intermediate colorspace, such as hue-saturation-value (HSV) or luminance-chrominance (YCbCr). Use the following MATLAB functions to perform these transformations: