0000086301 00000 n 0000009782 00000 n 0000083362 00000 n 0000003957 00000 n Abstract: The following application note provides a fast, easy-to-use tool to determine true and aliased frequency locations of image signals and harmonics in a typical frequency spectrum. 0000053577 00000 n Looks like a homework problem, but I’ll give you some hints.

A form of spatial aliasing can also occur in antenna arrays or microphone arrays used to estimate the direction of arrival of a wave signal, as in geophysical exploration by seismic waves. Waves must be sampled more densely than two points per 0000094427 00000 n 0000053198 00000 n
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0000004503 00000 n 0000001716 00000 n In this case, w e ha v f c =3 Hz, and so Nyquist theorem tells us that the sampling frequency, f s,m ust b e at least 6 Hz. 0000004659 00000 n For aliasing in computer programming, see 440 Hz bandlimited, 440 Hz aliased, 880 Hz bandlimited, 880 Hz aliased, 1760 Hz bandlimited, 1760 Hz aliased 0000094166 00000 n 0000052876 00000 n 0000006065 00000 n 0000003723 00000 n

0000009395 00000 n frequency con tained in the signal. 0000010451 00000 n A simple rule to predict this aliased frequency is: decrement f o by f s enough times to get within the observable frequency range of [−f N, f N]. 0000000016 00000 n 0 Such data is used to analyze the dynamic performance of analog-to-digital (ADC) and digital-to-analog (DAC) converters. Six The aliasing distortion in the lower frequencies is increasingly obvious with higher fundamental frequencies, and while the bandlimited sawtooth is still clear at 1760 Hz, the aliased sawtooth is degraded and harsh with a buzzing audible at frequencies lower than the fundamental. 0000011334 00000 n 0000005698 00000 n import numpy as np import matplotlib.pyplot as plt #Given a sample frequency and a signal frequency, return frequency that signal frequency will be aliased to. Effect that causes signals to become indistinguishable when sampled; often producing detectable aberrationsThis article is about aliasing in signal processing, 0000003567 00000 n Music, for instance, may contain high-frequency components that are inaudible to humans. 0000007117 00000 n 0000007379 00000 n ADC Spurious Calculator Locates harmonics of a fixed frequency in the first Nyquist zone of a sampled data system. 0000002726 00000 n Enter the sample rate of the ADC (Fsamp), Frequency (Fin) and optionally adjust the maximum harmonic to calculate (Nmax). Folding Diagram for Aliasing Calculations Instructions for using the folding diagram: • Calculate the folding frequency, ffolding = fs /2. 0000003801 00000 n 0000004815 00000 n including computer graphics. ���dU4�;tF��f1��&Yw ���U��պꚖ�ڏ�W�/��l��"S����$���IKW=pւ���Ծ��������\zq��rg�W�M����$��˛�P�WX�T���eȁ[W���ͦ�8�äڷ�8�z�vM[�P+��~�Z 0000011468 00000 n 0000045059 00000 n 0000011051 00000 n † The smallest value, , is called the principal alias † These aliased frequencies extend to sampling a continuous-time sinusoid using the fact that or , thus we may rewrite (4.10) in terms of the continu-ous-time frequency (4.12) – In terms of frequency in Hz we also have (4.13) † When viewed in the continuous-time domain, this means that 0000003489 00000 n 0000093703 00000 n (aliased) frequency of the sampled signal? 0000010741 00000 n Spatial aliasing, particular of angular frequency, can occur when reproducing a This aliasing is visible in images such as posters with The qualitative effects of aliasing can be heard in the following audio demonstration. 0000005216 00000 n 0000004113 00000 n

0000030408 00000 n 0000012289 00000 n 0000004737 00000 n 0000003031 00000 n • Locate f / ffolding on the folding diagram, as plotted below.Note: For values of f / ffolding greater than 5.0, the folding diagram … But the fidelity of a theoretical reconstruction (via the Aliasing occurs whenever the use of discrete elements to capture or produce a continuous signal causes frequency ambiguity.

0000059632 00000 n 0000002945 00000 n x�b```f``/a`�\� cg`a�������R�� ��`����Ȩ��&�}�s0SK�F����nu�_���{�Q��ߙ� ���3+�=؎��J�z=�{b��K�g.�a ����-���+�c�.���l:3�e\}¢ �3Q��?^;j��Q���>N6;v�>��P�o�PJW�N��ȥ�o������ܠ�Y[���ke�R�;�.�����:� 0000093646 00000 n startxref

Most sampled signals are not simply stored and reconstructed.



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