Analytical expressions for the power spectral density of CP-OFDM and ZP-OFDM signals

Toon Van Waterschoot; Vincent Le Nir; Jonathan Duplicy; Marc Moonen

doi:10.1109/LSP.2010.2040651

Analytical expressions for the power spectral density of CP-OFDM and ZP-OFDM signals

Toon Van Waterschoot, Vincent Le Nir, Jonathan Duplicy, Marc Moonen

Radio Networks

Research output: Contribution to journal › Article › peer-review

Abstract

In this letter, analytical expressions are derived for the power spectral density (PSD) of orthogonal frequency division multiplex (OFDM) signals employing a cyclic prefix (CP-OFDM) or zero padding (ZP-OFDM) time guard interval. Under the relatively weak assumptions that i) the data are independent and identically distributed on all OFDM subcarriers and ii) the OFDM pulse shape is sufficiently localized in time, simple closed-form PSD expressions can be obtained. These expressions are then compared to existing OFDM PSD expressions and validated by inspecting the power spectra of some standardized OFDM signals.

Original language	English
Article number	5382590
Pages (from-to)	371-374
Number of pages	4
Journal	IEEE Signal Processing Letters
Volume	17
Issue number	4
DOIs	https://doi.org/10.1109/LSP.2010.2040651
Publication status	Published - 2010

Keywords

Cyclic prefix (CP)
Orthogonal frequency division multiplex (OFDM)
Power spectral density (PSD)
Zero padding (ZP)

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10.1109/LSP.2010.2040651

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title = "Analytical expressions for the power spectral density of CP-OFDM and ZP-OFDM signals",

abstract = "In this letter, analytical expressions are derived for the power spectral density (PSD) of orthogonal frequency division multiplex (OFDM) signals employing a cyclic prefix (CP-OFDM) or zero padding (ZP-OFDM) time guard interval. Under the relatively weak assumptions that i) the data are independent and identically distributed on all OFDM subcarriers and ii) the OFDM pulse shape is sufficiently localized in time, simple closed-form PSD expressions can be obtained. These expressions are then compared to existing OFDM PSD expressions and validated by inspecting the power spectra of some standardized OFDM signals.",

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AU - Le Nir, Vincent

AU - Duplicy, Jonathan

AU - Moonen, Marc

PY - 2010

Y1 - 2010

N2 - In this letter, analytical expressions are derived for the power spectral density (PSD) of orthogonal frequency division multiplex (OFDM) signals employing a cyclic prefix (CP-OFDM) or zero padding (ZP-OFDM) time guard interval. Under the relatively weak assumptions that i) the data are independent and identically distributed on all OFDM subcarriers and ii) the OFDM pulse shape is sufficiently localized in time, simple closed-form PSD expressions can be obtained. These expressions are then compared to existing OFDM PSD expressions and validated by inspecting the power spectra of some standardized OFDM signals.

AB - In this letter, analytical expressions are derived for the power spectral density (PSD) of orthogonal frequency division multiplex (OFDM) signals employing a cyclic prefix (CP-OFDM) or zero padding (ZP-OFDM) time guard interval. Under the relatively weak assumptions that i) the data are independent and identically distributed on all OFDM subcarriers and ii) the OFDM pulse shape is sufficiently localized in time, simple closed-form PSD expressions can be obtained. These expressions are then compared to existing OFDM PSD expressions and validated by inspecting the power spectra of some standardized OFDM signals.

KW - Cyclic prefix (CP)

KW - Orthogonal frequency division multiplex (OFDM)

KW - Power spectral density (PSD)

KW - Zero padding (ZP)

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M3 - Article

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SP - 371

EP - 374

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

IS - 4

M1 - 5382590

ER -

Analytical expressions for the power spectral density of CP-OFDM and ZP-OFDM signals

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