NDLI: Bat Chirps With Good Properties: Zak Space Construction of Perfect Polyphase Sequences

Content Provider	IEEE Xplore Digital Library
Author	Brodzik, A.K. Tolimieri, R.
Copyright Year	1963
Abstract	Previously, a discretization of the linear FM chirp of length N=KL ², L and KL isin Z, was given and the conditions for its minimal Zak space support were derived. Chirps satisfying these conditions are known as finite chirps. In this work, subsets of finite chirps of length N=L ², L a prime, are examined. The investigation leads to a new, Zak space construction of general polyphase sequence sets of size L-1 with optimal auto and cross-correlation properties, known as perfect sequence sets. It is shown that perfect sequence sets are closely related to sets of finite chirps and, in particular, include the sets of Zadoff-Chu sequences (which are identical with subsets of finite chirps) and the sets of generalized Frank sequences (which are identical with sets of modulations of finite chirps), as special cases. The entire collection of perfect sequence sets is then given by a partition of the set of perfect auto correlation sequences, obtained by right coset decomposition of the group of all permutations with respect to a certain cyclic group. The construction suggests several further generalizations that can be obtained by operating exclusively on subgroups of the permutation group.
Sponsorship	IEEE Information Theory Society
Starting Page	1804
Ending Page	1814
Page Count	11
File Size	832344
File Format	PDF
ISSN	00189448
Volume Number	55
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Autocorrelation Spread spectrum radar Chirp modulation Signal representations Radar applications Sonar applications Linear systems Parameter estimation Real time systems Frequency Zadoff-Chu sequences Bat chirp cross-correlation finite chirp finite Zak transform linear FM chirp perfect sequence sets permutations polyphase sequences sparse signal representations
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

On Certain Sets of Polyphase Sequences With Sparse and Highly Structured Zak and Fourier Transforms

Characterization of Zak Space Support of a Discrete Chirp

Construction of Sparse Representations of Perfect Polyphase Sequences in Zak Space with Applications to Radar and Communications

A Constructive Representation for the Fourier Dual of the Zadoff–Chu Sequences

Generalized chirp-like polyphase sequences with optimum correlation properties

Optimal Families of Perfect Polyphase Sequences From the Array Structure of Fermat-Quotient Sequences

On the Fourier Transform of Finite Chirps

Aperiodic autocorrelation and crosscorrelation of polyphase sequences

Convolutional Compressed Sensing Using Deterministic Sequences

Bat Chirps With Good Properties: Zak Space Construction of Perfect Polyphase Sequences

Similar Documents

On Certain Sets of Polyphase Sequences With Sparse and Highly Structured Zak and Fourier Transforms

Characterization of Zak Space Support of a Discrete Chirp

Construction of Sparse Representations of Perfect Polyphase Sequences in Zak Space with Applications to Radar and Communications

A Constructive Representation for the Fourier Dual of the Zadoff–Chu Sequences

Generalized chirp-like polyphase sequences with optimum correlation properties

Optimal Families of Perfect Polyphase Sequences From the Array Structure of Fermat-Quotient Sequences

On the Fourier Transform of Finite Chirps

Aperiodic autocorrelation and crosscorrelation of polyphase sequences

Convolutional Compressed Sensing Using Deterministic Sequences

Bat Chirps With Good Properties: Zak Space Construction of Perfect Polyphase Sequences