Architectural acoustic measurements using periodic pseudorandom sequences and FFT

Pseudorandom sequences and lattices

Exact Signal Measurements using FFT Analysis

This tutorial describes how to accurately measure signal power using the FFT. While it is easy to calculate powers in the time domain, this is not always applicable: If a signal contains several spectral components and broadband noise, considering the frequency domain allows to measure power of these components individually or to measure SNR (by separately considering signal and noise). However...

A new family of binary pseudorandom sequences having optimal periodic correlation properties and large linear span

A collection of families of binary (0 , l ) pseudorandom sequences is introduced. Each sequence within a family has period N = 2" 1, where n = 2. rn is an even integer. There are 2"' sequences within a family, and the maximum over all (nontrivial) auto and cross-correlation values equals 2" + 1. Thus these sequences are optimum with respect to the Welch bound on the maximum correlation value. E...

FFT Acquisition of Periodic, Aperiodic, Puncture, and Overlaid Code Sequences in GPS

This paper presents a study of FFT-implemented circular correlation and its application to fast direct acquisition of GPS codes. This includes the periodic C/A-codes, practically non-periodic P(Y)-codes, never-repeating cryptographic M-code, and puncture acquisition (PA) codes which have been proposed to aid direct M acquisition as well as overlaid codes which are created by surface-reflected G...

On p-pseudorandom binary sequences

where the maximum is taken over all a, b, t ∈ IN such that 1 ≤ a ≤ a + (t − 1)b ≤ N , while the correlation measure of order k of EN is defined as Research of the second author is partially supported by Hungarian National Foundation for Scientific Research, Grant no. T043623. This paper was written while the second author was visiting the Institut de Mathématiques de Luminy (UPR 9016 CNRS), Mar...