Re: Optimal sweep duration for BRIR measurements (Brian FG Katz )


Subject: Re: Optimal sweep duration for BRIR measurements
From:    Brian FG Katz  <brian.katz@xxxxxxxx>
Date:    Tue, 28 Jul 2015 10:37:31 +0200
List-Archive:<http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>

This is a multipart message in MIME format. ------=_NextPart_000_00F9_01D0C921.1C9EFE70 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Hi all, I've been asked to clarify the point I was making in the following part = of my last message > Regarding distortion of the source, this should be an issue for the processing element (different from burning out you speaker). This is = because one of the strengths of the sweep method (when done correctly) is that = any harmonic distortion components of a higher frequency that the excitation signal at the time [are] folded back to BEFORE the direct sound after deconvolution by the excitation signal (as that frequency has yet to be generated). Due to a typing error, one word was wrong which was maybe confusing (corrected above). The principle I can try and explain again, though = without images it is not always easy. So, here goes:=20 Let's assume our reference/excitation signal is a linear frequency = ascending sweep. Looking at a spectrogram this is a nice line at 45=B0. For the = recorded response signal, each frequency excites the room and there is a = reverberant tail for each frequency which can be seen in the resulting spectrogram. = When you perform the deconvolution of the response by the stimulus, the = diagonal of the sweep excitation is the reference and the resulting response is = not an impulse response relative to that excitation. The result is that the sweep signal diagonal is in some sense rotated to a vertical impulse (again, thinking in terms of a spectrogram). With the direct sound for = all frequencies now being time aligned.=20 Now, if we look at transducer distortions, these are generated at frequencies higher than the excitation signal, meaning a speaker with a signal at 1kHz can produce distortions at 2kHz, 4kHz, etc. When the = sweep is rotated or folded back to the vertical through the deconvolution, these distortions are also moved. As they occur BEFORE their corresponding frequency excitation in the stimulus, they will occur BEFORE the direct sound in the RIR, appearing as pre-RIR. These need to be windowed out in = any processing step when the RIR is to be used. This effectively removes the speaker distortion from the measurement.=20 However, if one is interested, one can also analyse these pre-RIR as = they provide information on the distortion of the speaker (or other devices). With a correctly designed sweep, this is a powerful tool, as one can now model a non-linear distorted IR (see the paper I referenced earlier).=20 Of course, one should try and minimize the level of distortion in the = sweep excitation when played, as this isn't too friendly or efficient for the speaker. An advantage of the sweep over other methods is that the = speaker is only generating a single frequency at a time, and is therefore more efficient in level than for the same input at broadband; speakers like = sine waves, and you get more bang for your buck with sweeps.=20 Hope this helped anyone who was interested. -Brian FG Katz LIMSI-CNRS ------=_NextPart_000_00F9_01D0C921.1C9EFE70 Content-Type: application/pkcs7-signature; name="smime.p7s" Content-Transfer-Encoding: base64 Content-Disposition: attachment; filename="smime.p7s" MIAGCSqGSIb3DQEHAqCAMIACAQExCzAJBgUrDgMCGgUAMIAGCSqGSIb3DQEHAQAAoIIL2DCCA20w ggJVoAMCAQICAQAwDQYJKoZIhvcNAQEFBQAwLDELMAkGA1UEBhMCRlIxDTALBgNVBAoTBENOUlMx DjAMBgNVBAMTBUNOUlMyMB4XDTA5MDEyMTA4NTExM1oXDTI5MDEyMTA4NTExM1owLDELMAkGA1UE BhMCRlIxDTALBgNVBAoTBENOUlMxDjAMBgNVBAMTBUNOUlMyMIIBIjANBgkqhkiG9w0BAQEFAAOC AQ8AMIIBCgKCAQEAuLp3q1edEiUZFUSKI1XaYw0GbVnrwQSgF3kS8yeCSOqNvjzLNjV4GwTVKQO1 aUgp+6ena8Tc0ikQ8+JOlaUArUl1whzrIjjNmQh/8vEkqvEqTQxss6Iidiv7d7ZgPD2IV6nrrxal kGFRgP/DfLmug70lXaA9lLlsNpzITT1j3yfOxA1ktUIlkTYVnJNLIRk09ikTQc4Pu5LvlqxvVDrz wCsEGdH+vNzu8eFOQ47mE9wn2rsAcl2zfy4wmGjGPQUsAgdKEjbN2r7PDGsKTBoK69sB8uGcrELE klxXJrbW9dSKvWscDDMaLu2mhIQ2Jsyk7/4k+Rtfri1ZA1AuDwhx9QIDAQABo4GZMIGWMA8GA1Ud EwEB/wQFMAMBAf8wHQYDVR0OBBYEFFCXtg33rDMXr/EdRjxrO/8AoOXlMFQGA1UdIwRNMEuAFFCX tg33rDMXr/EdRjxrO/8AoOXloTCkLjAsMQswCQYDVQQGEwJGUjENMAsGA1UEChMEQ05SUzEOMAwG A1UEAxMFQ05SUzKCAQAwDgYDVR0PAQH/BAQDAgEGMA0GCSqGSIb3DQEBBQUAA4IBAQA0MWtAIb+H 9V58oaX1/xjSJOZQvGeYrjsMGMeICK2T0QYJkGr+qBTxkA1rSHDZ0Gd6hZRqn/BpndZ4/9e0/OoI 7c5aCFpTLq/18t47spk5/X2x68xUdAUXEGZfGs429Uvhn5Ox+CuKiBEx/PNqo40d1gpd6vlM1uJC 5jwLLuxiTGkOLCaepo3nN69faiEMRekv80m3G/VfIVIgJAowymK9AYJmTEHyy0L9Yq9EeylpGRWl gUTow958lDNmnhOPUYPPU/gN5668TvqByB8sKWTda2MjnB/H93c64jLqaSH1nTnCd/oGtNIIoZBH DKxRaBwsD32n1qDRVfU+k/SqjRnNMIIDtjCCAp6gAwIBAgIBAzANBgkqhkiG9w0BAQUFADAsMQsw CQYDVQQGEwJGUjENMAsGA1UEChMEQ05SUzEOMAwGA1UEAxMFQ05SUzIwHhcNMDkwMTIxMDkwMzUy WhcNMjkwMTIwMDkwMzUyWjA1MQswCQYDVQQGEwJGUjENMAsGA1UEChMEQ05SUzEXMBUGA1UEAxMO Q05SUzItU3RhbmRhcmQwggEiMA0GCSqGSIb3DQEBAQUAA4IBDwAwggEKAoIBAQCcqWRqtAcjGcO+ CAjE4ipd7dQo3v4/oO2SRGsWRzUTN410qfVNg+QFG48IYUzed1vXqf+7ZZ3JrDwP8Yl7kyKgRw9f Br6OeKALeddCZWFyY5JAiltnEPrWJz7Yd00eedtvSxIAUlji2EIFsjM3d+CNbB28+PbylFgl94LZ htlc89guzf1wiQSH7znRKtiSjGkvHFJl+mCPEH/Mj/lcLhTtTIvgnTe40jyUylD9QXre9jzsruy9 XBbdsPBzmXqB/zsz0gCeTYzGWzguM8N2hspyVNst4hD9klBok4Ttd6mJaVGF6+CUo/mXCBGMJPAP uji0LNbXbE5j/rQxn++PplqlAgMBAAGjgdkwgdYwDwYDVR0TAQH/BAUwAwEB/zAdBgNVHQ4EFgQU EePZ0VJHG1mxPBt4Zmv0oYjtClswVAYDVR0jBE0wS4AUUJe2DfesMxev8R1GPGs7/wCg5eWhMKQu MCwxCzAJBgNVBAYTAkZSMQ0wCwYDVQQKEwRDTlJTMQ4wDAYDVQQDEwVDTlJTMoIBADAOBgNVHQ8B Af8EBAMCAQYwPgYDVR0fBDcwNTAzoDGgL4YtaHR0cDovL2NybHMuc2VydmljZXMuY25ycy5mci9D TlJTMi9nZXRkZXIuY3JsMA0GCSqGSIb3DQEBBQUAA4IBAQBP6eMX5kwn9RdqUFXq7s9Mqr3uLN12 PlmgLwtoidpD0B4dLGsS+WcTnmUrpITSMc+CoMrvIugQbOnPF3ysrYeFTIrh1XtM5tkOsqHkKZ4g rw8+e7l/JEwy4Ij+etqsFmChda6JnIpmnZS6fqsOICPt98eEXYJIFN7E1LDFTiyH1I0DES821Slv rplnGQyNbVog39GfxsuvVe4LyrFbD+9cdPTzRoljR34szr/IMA0ARvYY5mw/MH6QbhCNHzlJz5Np 68iewmdzr0qL9nxCKN2l3e2vyVUbZD9UvGEmEOuR1en37tD2Cwv6ppDdYPRAnQunnPjOLyE4/qsG v9oNd/pnMIIEqTCCA5GgAwIBAgICdy0wDQYJKoZIhvcNAQEFBQAwNTELMAkGA1UEBhMCRlIxDTAL BgNVBAoTBENOUlMxFzAVBgNVBAMTDkNOUlMyLVN0YW5kYXJkMB4XDTEzMTIxNjE0NTgyNVoXDTE1 MTIxNjE0NTgyNVowZzELMAkGA1UEBhMCRlIxDTALBgNVBAoTBENOUlMxEDAOBgNVBAsTB1VQUjMy NTExEzARBgNVBAMTCkJyaWFuIEthdHoxIjAgBgkqhkiG9w0BCQEWE2JyaWFuLmthdHpAbGltc2ku ZnIwggEiMA0GCSqGSIb3DQEBAQUAA4IBDwAwggEKAoIBAQDogOd9JNpls4A+x5qzEterjFSY2bGu 0BX2r3dsVhY0DB2cg9ovZmTFR/Ro+QjGPWZHDn6eY3O5HTSMLR/Mh7zVR+o9dD+IGKr5W12HQShD XduRDdZgFOwAX1skYhKZ1C7TdYiShnxl/hAiHY+IXvpHaGJlpIYHjD0+pMJ8y1uTDjuskNHOBC3l XhvMI8hpE+NleJxJLZsmGZwW41IrDnsuhiagv3nOGum4dEY2w2MfJzS8NHuQApY74NseIkrx/wfC 2VnnoWkQoyC0C3qBem90IqVl0Nnu2kvqZKFG1/rJFQHSr76z9el02WGxaC1pP982kUenPd1CT8/5 aYPRH1j5AgMBAAGjggGPMIIBizAMBgNVHRMBAf8EAjAAMBEGCWCGSAGG+EIBAQQEAwIEsDAOBgNV HQ8BAf8EBAMCBeAwegYJYIZIAYb4QgENBG0Wa0NlcnRpZmljYXQgQ05SUzItU3RhbmRhcmQuIFBv dXIgdG91dGUgaW5mb3JtYXRpb24gc2UgcmVwb3J0ZXIg4CBodHRwOi8vaWdjLnNlcnZpY2VzLmNu cnMuZnIvQ05SUzItU3RhbmRhcmQvMB0GA1UdDgQWBBS0jqVYl1rSaoQ9UONWYrVIZ4tZrTBUBgNV HSMETTBLgBQR49nRUkcbWbE8G3hma/ShiO0KW6EwpC4wLDELMAkGA1UEBhMCRlIxDTALBgNVBAoT BENOUlMxDjAMBgNVBAMTBUNOUlMyggEDMB4GA1UdEQQXMBWBE2JyaWFuLmthdHpAbGltc2kuZnIw RwYDVR0fBEAwPjA8oDqgOIY2aHR0cDovL2NybHMuc2VydmljZXMuY25ycy5mci9DTlJTMi1TdGFu ZGFyZC9nZXRkZXIuY3JsMA0GCSqGSIb3DQEBBQUAA4IBAQCHKbX7H/CDt3W23zz+LXBrb0JX6LGF C6AeCRblVwh2vXj+HE08GCuh6BW+QDk6POnHTg7oWgINtmorqIw0yKO8UGOwsKvBmsbq/Z3qfLti ewnz3AKYoS6PmAHmViXooij9YItH8QKyorpmzw0NLLMdQ5KI4aKj1XNQAQgYvuo9ML4O4gK3vv/K LnIwrT3YjPLloYHMEaCOkfl9HnWrXYMPg9HsUG1gty+JBTHQmYOS9u9QbKZAjyq9j2jSIL+cpU7i U6r3k3sETHOaMwpffTfm2+gpdQ8KO/UCtyY9PAlnJHz71w/6iULRvnLS14SjwOaGA99iT6neEd3j 9gkLWXW6MYIDCzCCAwcCAQEwOzA1MQswCQYDVQQGEwJGUjENMAsGA1UEChMEQ05SUzEXMBUGA1UE AxMOQ05SUzItU3RhbmRhcmQCAnctMAkGBSsOAwIaBQCgggGlMBgGCSqGSIb3DQEJAzELBgkqhkiG 9w0BBwEwHAYJKoZIhvcNAQkFMQ8XDTE1MDcyODA4MzUyNFowIwYJKoZIhvcNAQkEMRYEFN13vk2s xt1nyluDxI07xWa25hGyMEoGCSsGAQQBgjcQBDE9MDswNTELMAkGA1UEBhMCRlIxDTALBgNVBAoT BENOUlMxFzAVBgNVBAMTDkNOUlMyLVN0YW5kYXJkAgJ3LTBMBgsqhkiG9w0BCRACCzE9oDswNTEL MAkGA1UEBhMCRlIxDTALBgNVBAoTBENOUlMxFzAVBgNVBAMTDkNOUlMyLVN0YW5kYXJkAgJ3LTCB qwYJKoZIhvcNAQkPMYGdMIGaMAsGCWCGSAFlAwQBKjALBglghkgBZQMEARYwCgYIKoZIhvcNAwcw CwYJYIZIAWUDBAECMA4GCCqGSIb3DQMCAgIAgDAHBgUrDgMCBzANBggqhkiG9w0DAgIBQDANBggq hkiG9w0DAgIBKDAHBgUrDgMCGjALBglghkgBZQMEAgMwCwYJYIZIAWUDBAICMAsGCWCGSAFlAwQC ATANBgkqhkiG9w0BAQEFAASCAQCY9xdpFcGlE5XMa7Ou+P0OnMyBFP9ogoUHLi25XcfSRMNFqjtd HZgdOIluQOOhuG+YKXPCChdbmGcRg/VKZ6wi7zlMDJG2b7IRKAtZmiA01gYwe9i5KlhdaH8ZAup/ zQlS+/8id/qyikHMvXNAYpa8YHSl3vlcqhQD6fJq/X9bnI+Gl6lcN+SxsbaUTTLaqjEeMqIIsbm/ /DAvsTBrIJQegyYbEvEtWT5I87eUCKrFsBnOUr6MRUy3G1qFthnKK2gbiMMmoKoiNadIfVf9J3MG jOf69NUA0vLh24s+QQTL0sTOJubpoIjMyX6rVPfHhFw/tQPvWsJgE7mmJLlLsxtSAAAAAAAA ------=_NextPart_000_00F9_01D0C921.1C9EFE70--


This message came from the mail archive
/var/www/postings/2015/
maintained by:
DAn Ellis <dpwe@ee.columbia.edu>
Electrical Engineering Dept., Columbia University