lab4

Note: For simplicity, we'll consider all signals and systems in this lab as discrete-time entities, since that's what computers use. In truth, there are other steps involved, such as sampling and quantization. Degradation (also referred to as distortion) is a common problem in signal and image processing: you want access to a "ground truth" signal 𝑥 [ 𝑛 ] , but due to some real-world physical constraints, you can only observe 𝑦 [ 𝑛 ] , a corrupted version of 𝑥 [ 𝑛 ] . For example, suppose you're playing a song 𝑥 [ 𝑛 ] in a large concert hall. Due to the acoustics of the room, your audience hears 𝑦 [ 𝑛 ] , the song superimposed with a quieter echo of it (that is, 𝑥 [ 𝑛 ] plus a delayed and attenuated copy of 𝑥 [ 𝑛 ] ). In this lab we address how to compensate for signal distortions. Our goal is to produce 𝑥 ^ [ 𝑛 ] , an estimate of the original signal 𝑥 [ 𝑛 ] , using the measured signal 𝑦 [ 𝑛 ] . The process of determining 𝑥 ^ [ 𝑛 ] using 𝑦 [ 𝑛 ]

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• Abinaya Dinesh