# US 2019/0170797 A1 · Spectrum extension edgeless gating for reduced time domain gating edge errors > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 2019/0170797 A1 - Document ID: US20190170797A1 - Status: Published application - Kind: A1 - Application number: 15/830,658 - Filed: 2017-12-04 - Published: 2019-06-06 - Earliest claimed: 2017-12-04 - Assignees: ETS-Lindgren, Inc. - Applicants: ETS-Lindgren Inc. - Inventors: Zhong CHEN; Zubiao XIONG - Web page: https://patentgrep.com/patent/US20190170797A1 ## CPC - G01R 27/28: Measuring attenuation, gain, phase shift or derived characteristics of electric four pole networks, i.e. two-port networks; Measuring transient response (in line transmission systems H04B3/46) - G06F 17/17: Function evaluation by approximation methods, e.g. inter- or extrapolation, smoothing, least mean square method ({G06F17/18 takes precedence } ; interpolation for numerical control G05B19/18) - G01R 27/32: in circuits having distributed constants {, e.g. having very long conductors or involving high frequencies} - G01R: MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES (indicating correct tuning of resonant circuits H03J3/12) - G06F: ELECTRIC DIGITAL DATA PROCESSING (computer systems based on specific computational models G06N) ## Abstract A method and system for processing finite frequency domain data to which a time gating process is to be applied to improve performance of signal processing equipment and to facilitate complex time gating while suppressing edge effects. According to one aspect, a method for improved processing of a finite frequency signal by signal processing equipment to suppress edge effects arising from a time gating process is provided. The method includes padding the finite frequency signal outside a frequency range with samples derived from an extrapolation process to produce an extended signal having samples inside and outside the frequency range of the finite signal. The method further includes applying a time gating process to the extended signal to exclude signals occurring outside a time interval and to produce a time gated signal with suppressed edge effects. ## Claims ### Claim 1 A method for improved processing of a finite frequency signal by signal processing equipment to suppress edge effects arising from a time gating process, the method comprising: padding the finite frequency signal outside a frequency range of the finite frequency signal with samples derived from an extrapolation process to produce an extended signal having samples inside and outside the frequency range of the finite frequency signal; and applying a time gating process to the extended signal to exclude signals occurring outside a time interval and to produce a time gated signal with suppressed edge effects. ### Claim 2 (depends on 1) The method of claim 1, wherein the extrapolation process includes one of an autoregressive model, vector fitting, Cauchy method, matrix pencil method and Hilbert transform extrapolation method. ### Claim 3 (depends on 1) The method of claim 1, wherein the time gating process is performed in the time domain upon an Inverse Fourier Transform, IFT, of the extended signal. ### Claim 4 (depends on 1) The method of claim 1, wherein the time gating process is performed as a convolution of the extended signal with a Fourier transform of a time gate function in a frequency domain. ### Claim 5 (depends on 1) The method of claim 1, further comprising applying a window function to the extended signal prior to applying the time gating process. ### Claim 6 (depends on 1) The method of claim 1, wherein the time gating process includes and excludes signals in a plurality of separate time intervals. ### Claim 7 (depends on 1) The method of claim 1, wherein the processing is performed without a renormalization process. ### Claim 8 (depends on 1) The method of claim 1, wherein the signal processing equipment is a network analyzer. ### Claim 9 Signal processing equipment for processing a finite frequency signal to suppress edge effects arising from a time gating process within the equipment, the equipment comprising: processing circuitry configured to: pad the finite frequency signal with samples placed outside a frequency range of the finite frequency signal to produce an extended signal, the samples being derived from an extrapolation process; and apply a time gating process to the extended signal to exclude signals occurring outside a time interval and to produce a time gated signal with suppressed edge effects. ### Claim 10 (depends on 9) The equipment of claim 9, wherein the extrapolation process includes one of an autoregressive model, vector fitting, Cauchy method, matrix pencil method and Hilbert transform extrapolation method. ### Claim 11 (depends on 9) The equipment of claim 9, wherein the time gating process is performed in the time domain upon an Inverse Fourier Transform, IFT, of the extended signal. ### Claim 12 (depends on 9) The method of claim 9, wherein the time gating process is performed as a convolution of the extended signal with a Fourier transform of a time gate function in a frequency domain. ### Claim 13 (depends on 9) The equipment of claim 9, further comprising applying a window function to the extended signal prior to applying the time gating process. ### Claim 14 (depends on 9) The equipment of claim 9, wherein the time gating process includes signals and excludes signals from a plurality of separate time intervals. ### Claim 15 (depends on 9) The equipment of claim 9, wherein the processing is performed without a renormalization process. ### Claim 16 A method for improved processing of a finite frequency signal by signal processing equipment to suppress edge effects arising from a time gating process, the method comprising: receiving a finite frequency signal having a frequency band extending from a lower frequency to an upper frequency; performing an extrapolation process on the finite frequency signal to produce an extended signal having samples in a region outside the frequency band of the finite frequency signal; defining at least one time gate to exclude signals contained in the extended signal that occur outside a time interval; and applying the at least one time gate to the extended signal to produce a time gated signal. ### Claim 17 (depends on 16) The method of claim 16, further comprising displaying the time gated signal in a frequency domain. ### Claim 18 (depends on 16) The method of claim 16, wherein the applying is performed in a time domain.