Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Synthetic Disvision of Polynomials01:28

Synthetic Disvision of Polynomials

Synthetic division is an efficient algorithmic approach for dividing a polynomial by a linear binomial of the form x - c, where c is a real number. This method is helpful due to its streamlined process, which avoids the more cumbersome steps involved in the traditional long division of polynomials. It simplifies computation and serves as a practical tool for evaluating polynomials and identifying their factors.To perform synthetic division, one begins by listing the coefficients of the...
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next sampling...
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
Passive Filters01:27

Passive Filters

Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
Low-Pass Filters
Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff frequency...
Design Example01:23

Design Example

The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...
Active Filters01:25

Active Filters

Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Optical correlator using very-large-scale integrated circuit/ferroelectric-liquid-crystal electrically addressed spatial light modulators.

Applied optics·2010
Same author

Distortion range of filter synthetic discriminant function binary phase-only filters.

Applied optics·2010
Same author

Electrically addressed spatial light modulator that uses a dynamic memory.

Optics letters·2009
Same author

Optically addressed thresholding very-large-scale-integration/liquid-crystal spatial light modulators.

Optics letters·2009

Related Experiment Videos

Inclusion of filter modulation in synthetic-discriminant-function construction.

D A Jared, D J Ennis

    Applied Optics
    |June 16, 2010
    PubMed
    Summary

    A new method synthesizes synthetic-discriminant-function matched spatial filters (SDF MSF) by including filter modulation. This technique achieves precise correlation responses and high signal-to-clutter ratios, outperforming conventional filters.

    Related Experiment Videos

    Area of Science:

    • Optical Engineering
    • Image Processing
    • Pattern Recognition

    Background:

    • Matched spatial filters (MSF) are crucial for pattern recognition and object detection in optical systems.
    • Conventional synthetic-discriminant-function (SDF) filters, including phase-only filters (POFs) and binary-phase-only filters (BPOFs), face limitations in achieving precise correlation responses.
    • The synthesis of SDF MSFs typically involves projection methods that can struggle with accuracy and signal-to-clutter ratios.

    Purpose of the Study:

    • To present a novel technique for synthesizing SDF MSFs that incorporates filter modulation directly into the synthesis process.
    • To evaluate the performance of the new method for phase-only filters (POFs) and binary-phase-only filters (BPOFs) using computer simulations.
    • To demonstrate the capability of the developed filters in achieving high accuracy and signal-to-clutter ratios for various classification problems.

    Main Methods:

    • A new filter synthesis technique is introduced, integrating filter modulation into the SDF MSF design.
    • The filter synthesis involves solving a system of simultaneous nonlinear equations using an iterative procedure.
    • Computer simulations were conducted using thresholded images of the Space Shuttle across various aspect angles to test POFs and BPOFs.

    Main Results:

    • The synthesized filters successfully achieved the specified peak-correlation response with an accuracy of within 1%.
    • A high signal-to-clutter ratio was obtained for one-class, two-class, and multilevel classification problems.
    • Conventional projection-based SDF POFs and BPOFs failed to produce the desired peak-correlation response, highlighting the superiority of the new method.

    Conclusions:

    • The proposed technique for SDF MSF synthesis, including filter modulation, offers superior performance compared to conventional methods.
    • This approach enables the construction of filters capable of highly accurate correlation and robust discrimination in complex scenarios.
    • The method is effective for various pattern recognition tasks, including those involving challenging datasets like thresholded images at different aspect angles.