Compressive Sensing by Colpitts Chaotic Oscillator for Image Sensors

Abstract

Abstract-Compressive sensing uses simultaneous sensing and compression to provide an efficient image acquisition technique and it has been demonstrated in optical and electrical image sensors. To guarantee exact recovery from sparse measurements, specific sensing matrix, which satisfies the Restricted Isometry Property (RIP), should be well chosen. Toeplitz-structured chaotic sensing matrix constructed by Logistic map has been proved to satisfy RIP with high probability. In this paper, we propose that chaotic sequence sampled from Colpitts oscillator can also be used to generate Toeplitzstructured chaotic sensing matrix. Simulation results show that the proposed Colpitts chaotic sensing matrix has similar performance to random matrix or other chaotic matrix for exact reconstructing compressible signals and images from fewer measurements.

Synchronization of Chaotic Memristive System with Sinusoidal Colpitts Oscillator based on Adaptive Feedback Control Method

“…In practical applications, system state variables are usually not available, so designing a observer based on estimating system state variables is mandatory. Several studies and methods have been conducted to synchronize chaotic systems based on observer design; For example, class image synchronization of chaotic systems has been investigated using the fuzzy adaptive observer design approach in the reference [15]. One of the problems in the synchronization of nonlinear oscillators is the synchronization of chaotic oscillators and sinusoidal oscillators [48][49][50][51].…”

“…These oscillators, in priodic (regular) regimes, are used for instrumentation and measurement applications [7][8][9]. But these oscillators, in their irregular behavior (Chaos or Hyperchaos), are used in applications such as generating random bits, radar systems, satellite communications, secure communications (in the field of telecommunications), metal cutting processes, image sensors (in medicine) [10][11][12][13][14][15][16]. For chaotic systems, various control objectives such as stabilization and synchronization are considered [17][18][19].…”