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Chapter 18

Sampling

Chapter 18

Sampling

Sampling Theorem
Consider the continuous-time signal x(t), and a train of impulses where Ts,  is the sampling interval, and fs, is the sampling frequency. Multiplying …
Sampling Continuous Time Signal
A continuous-time signal is sampled using impulse-train sampling followed by the zero-order hold method. Impulse-train sampling uses a periodic impulse …
Reconstruction of Signal using Interpolation
Consider a continuous signal and its sampled counterpart with a sampling period T. Applying a zero-order hold to the sampled signal results in a piecewise …
Aliasing
Consider a time-domain signal and its Fourier transform to reveal the spectrum. Sampling the signal at a specific frequency creates multiple scaled …
Downsampling
Consider a sampled sequence with zero values between sampling instants. Replace it by taking every N-th value of the sampled sequence. The original and …
Upsampling
Consider a decimated signal with a reduced frequency range due to its lower sampling rate. Insert zeros between each sample to upsample, that introduces …
Bandpass Sampling
Consider a signal sampled at a rate greater than twice its highest frequency. A signal with most of its energy concentrated in a narrow frequency band is …
Voltage Biasing, Cyclic Voltammetry, & Electrical Impedance Spectroscopy for Neural Interfaces
Electrical impedance spectroscopy (EIS) and cyclic voltammetry (CV) measure properties of the electrode-tissue interface without additional invasive …
Blood Flow Imaging with Ultrafast Doppler
The pulsed-Doppler effect is the main technique used in clinical echography to assess blood flow. Applied with conventional focused ultrasound Doppler …
AMEBaS: Automatic Midline Extraction and Background Subtraction of Ratiometric Fluorescence Time-Lapses of Polarized Single Cells
Cell polarity is a macroscopic phenomenon established by a collection of spatially concentrated molecules and structures that culminate in the emergence …