Signal compression apparatus, signal reconstruction apparatus, and signal processing system

A signal processing system comprising:

• a compression part that converts a target signal to a compression signal compressed by use of an observation matrix;
• and
• a reconstruction part that reconstructs the compression signal compressed in the compression part, wherein the reconstruction part includes the observation matrix, and a dictionary matrix in which a past signal is arranged in each column, the past signal being a signal of a same type as the target signal and being a target signal obtained in advance for a plurality of times, obtains an estimation vector by inputting the received compression signal, the observation matrix, and the dictionary matrix to a reconstruction algorithm execution module, and derives a reconstruction signal corresponding to the target signal by inputting an obtained estimation vector and the dictionary matrix to a calculation module for obtaining a product.