K.4 Detailed computation

26.1143GPPIP Multimedia Subsystem (IMS)Media handling and interactionMultimedia telephonyRelease 18TS

Tools: ARFCN - Frequency Conversion for 5G NR/LTE/UMTS/GSM

The tables below give a detailed description of the bandwidth computation. The b=AS bandwidth is not defined for SID. Since a SID is rarely encapsulated with a speech frame or another SID, Tables K.9-16 do not include the computation procedure for the comfort noise frame.

Table K.1: Computation of b=AS for AMR (IPv4, ptime=20, bandwidth-efficient mode)

Mode	4.75	5.15	5.9	6.7	7.4	7.95	10.2	12.2	SID
Bits per speech frame	95	103	118	134	148	159	204	244	39
Payload header and ToC	10	10	10	10	10	10	10	10	10
RTP payload (bits)	105	113	128	144	158	169	214	254	49
RTP payload (bytes)	13.13	14.13	16	18	19.75	21.13	26.75	31.75	6.13
Rounded-up RTP payload (bytes)	14	15	16	18	20	22	27	32	7
Rounded-up RTP payload (bits)	112	120	128	144	160	176	216	256	56
RTP header	96	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64	64
IPv4 header	160	160	160	160	160	160	160	160	160
Total bits per 20 ms	432	440	448	464	480	496	536	576	376
Total bit-rate (kbps)	21.6	22	22.4	23.2	24	24.8	26.8	28.8	18.8
AS	22	22	23	24	24	25	27	29	N/A

Table K.2: Computation of b=AS for AMR (IPv6, ptime=20, bandwidth-efficient mode)

Mode	4.75	5.15	5.9	6.7	7.4	7.95	10.2	12.2	SID
Bits per speech frame	95	103	118	134	148	159	204	244	39
Payload header and ToC	10	10	10	10	10	10	10	10	10
RTP payload (bits)	105	113	128	144	158	169	214	254	49
RTP payload (bytes)	13.13	14.13	16	18	19.75	21.13	26.75	31.75	6.13
Rounded-up RTP payload (bytes)	14	15	16	18	20	22	27	32	7
Rounded-up RTP payload (bits)	112	120	128	144	160	176	216	256	56
RTP header	96	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64	64
IPv6 header	320	320	320	320	320	320	320	320	320
Total bits per 20 ms	592	600	608	624	640	656	696	736	536
Total bit-rate (kbps)	29.6	30	30.4	31.2	32	32.8	34.8	36.8	26.8
AS	30	30	31	32	32	33	35	37	N/A

Table K.3: Computation of b=AS for AMR (IPv4, ptime=20, octet-aligned mode)

Mode	4.75	5.15	5.9	6.7	7.4	7.95	10.2	12.2	SID
Bits per speech frame	95	103	118	134	148	159	204	244	39
Speech frame size (bytes)	11.88	12.88	14.75	16.75	18.5	19.88	25.5	30.5	4.88
Rounded-up speech frame size (bytes)	12	13	15	17	19	20	26	31	5
Rounded-up speech frame size (bits)	96	104	120	136	152	160	208	248	40
Payload header and ToC	16	16	16	16	16	16	16	16	16
RTP payload (bits)	112	120	136	152	168	176	224	264	56
RTP header	96	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64	64
IPv4 header	160	160	160	160	160	160	160	160	160
Total bits per 20 ms	432	440	456	472	488	496	544	584	376
Total bit-rate (kbps)	21.6	22	22.8	23.6	24.4	24.8	27.2	29.2	18.8
AS	22	22	23	24	25	25	28	30	N/A

Table K.4: Computation of b=AS for AMR (IPv6, ptime=20, octet-aligned mode)

Mode	4.75	5.15	5.9	6.7	7.4	7.95	10.2	12.2	SID
Bits per speech frame	95	103	118	134	148	159	204	244	39
Speech frame size (bytes)	11.88	12.88	14.75	16.75	18.5	19.88	25.5	30.5	4.88
Rounded-up speech frame size (bytes)	12	13	15	17	19	20	26	31	5
Rounded-up speech frame size (bits)	96	104	120	136	152	160	208	248	40
Payload header and ToC	16	16	16	16	16	16	16	16	16
RTP payload (bits)	112	120	136	152	168	176	224	264	56
RTP header	96	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64	64
IPv6 header	320	320	320	320	320	320	320	320	320
Total bits per 20 ms	592	600	616	632	648	656	704	744	536
Total bit-rate (kbps)	29.6	30	30.8	31.6	32.4	32.8	35.2	37.2	26.8
AS	30	30	31	32	33	33	36	38	N/A

Table K.5: Computation of b=AS for AMR-WB (IPv4, ptime=20, bandwidth-efficient mode)

Mode	6.6	8.85	12.65	14.25	15.85	18.25	19.85	23.05	23.85	SID
Bits per speech frame	132	177	253	285	317	365	397	461	477	40
Payload header and ToC	10	10	10	10	10	10	10	10	10	10
RTP payload (bits)	142	187	263	295	327	375	407	471	487	50
RTP payload (bytes)	17.75	23.38	32.88	36.88	40.88	46.88	50.88	58.88	60.875	6.25
Rounded-up RTP payload (bytes)	18	24	33	37	41	47	51	59	61	7
Rounded-up RTP payload (bits)	144	192	264	296	328	376	408	472	488	56
RTP header	96	96	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64	64	64
IPv4 header	160	160	160	160	160	160	160	160	160	160
Total bits per 20 ms	464	512	584	616	648	696	728	792	808	376
Total bit-rate (kbps)	23.2	25.6	29.2	30.8	32.4	34.8	36.4	39.6	40.4	18.8
AS	24	26	30	31	33	35	37	40	41	N/A

Table K.6: Computation of b=AS for AMR-WB (IPv6, ptime=20, bandwidth-efficient mode)

Mode	6.6	8.85	12.65	14.25	15.85	18.25	19.85	23.05	23.85	SID
Bits per speech frame	132	177	253	285	317	365	397	461	477	40
Payload header and ToC	10	10	10	10	10	10	10	10	10	10
RTP payload (bits)	142	187	263	295	327	375	407	471	487	50
RTP payload (bytes)	17.75	23.38	32.88	36.88	40.88	46.88	50.88	58.88	60.875	6.25
Rounded-up RTP payload (bytes)	18	24	33	37	41	47	51	59	61	7
Rounded-up RTP payload (bits)	144	192	264	296	328	376	408	472	488	56
RTP header	96	96	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64	64	64
IPv6 header	320	320	320	320	320	320	320	320	320	320
Total bits per 20 ms	624	672	744	776	808	856	888	952	968	536
Total bit-rate (kbps)	31.2	33.6	37.2	38.8	40.4	42.8	44.4	47.6	48.4	26.8
AS	32	34	38	39	41	43	45	48	49	N/A

Table K.7: Computation of b=AS for AMR-WB (IPv4, ptime=20, octet-aligned mode)

Mode	6.6	8.85	12.65	14.25	15.85	18.25	19.85	23.05	23.85	SID
Bits per speech frame	132	177	253	285	317	365	397	461	477	40
Speech frame size (bytes)	16.5	22.13	31.63	35.63	39.63	45.63	49.63	57.63	59.625	5
Rounded-up speech frame size (bytes)	17	23	32	36	40	46	50	58	60	5
Rounded-up speech frame size (bits)	136	184	256	288	320	368	400	464	480	40
Payload header and ToC	16	16	16	16	16	16	16	16	16	16
RTP payload (bits)	152	200	272	304	336	384	416	480	496	56
RTP header	96	96	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64	64	64
IPv4 header	160	160	160	160	160	160	160	160	160	160
Total bits per 20 ms	472	520	592	624	656	704	736	800	816	376
Total bit-rate (kbps)	23.6	26	29.6	31.2	32.8	35.2	36.8	40	40.8	18.8
AS	24	26	30	32	33	36	37	40	41	N/A

Table K.8: Computation of b=AS for AMR-WB (IPv6, ptime=20, octet-aligned mode)

Mode	6.6	8.85	12.65	14.25	15.85	18.25	19.85	23.05	23.85	SID
Bits per speech frame	132	177	253	285	317	365	397	461	477	40
Speech frame size (bytes)	16.5	22.13	31.63	35.63	39.63	45.63	49.63	57.63	59.625	5
Rounded-up speech frame size (bytes)	17	23	32	36	40	46	50	58	60	5
Rounded-up speech frame size (bits)	136	184	256	288	320	368	400	464	480	40
Payload header and ToC	16	16	16	16	16	16	16	16	16	16
RTP payload (bits)	152	200	272	304	336	384	416	480	496	56
RTP header	96	96	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64	64	64
IPv6 header	320	320	320	320	320	320	320	320	320	320
Total bits per 20 ms	632	680	752	784	816	864	896	960	976	536
Total bit-rate (kbps)	31.6	34	37.6	39.2	40.8	43.2	44.8	48	48.8	26.8
AS	32	34	38	40	41	44	45	48	49	N/A

Table K.9: Computation of b=AS for AMR (IPv4, ptime=40, bandwidth-efficient mode)

Mode	4.75	5.15	5.9	6.7	7.4	7.95	10.2	12.2
Bits per speech frame	95	103	118	134	148	159	204	244
Payload header and ToC	16	16	16	16	16	16	16	16
RTP payload (bits)	206	222	252	284	312	334	424	504
RTP payload (bytes)	25.75	27.75	31.5	35.5	39	41.75	53	63
Rounded-up RTP payload (bytes)	26	28	32	36	39	42	53	63
Rounded-up RTP payload (bits)	208	224	256	288	312	336	424	504
RTP header	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64
IPv4 header	160	160	160	160	160	160	160	160
Total bits per 40 ms	528	544	576	608	632	656	744	824
Total bit-rate (kbps)	13.2	13.6	14.4	15.2	15.8	16.4	18.6	20.6
AS	14	14	15	16	16	17	19	21

Table K.10: Computation of b=AS for AMR (IPv6, ptime=40, bandwidth-efficient mode)

Mode	4.75	5.15	5.9	6.7	7.4	7.95	10.2	12.2
Bits per speech frame	95	103	118	134	148	159	204	244
Payload header and ToC	16	16	16	16	16	16	16	16
RTP payload (bits)	206	222	252	284	312	334	424	504
RTP payload (bytes)	25.75	27.75	31.5	35.5	39	41.75	53	63
Rounded-up RTP payload (bytes)	26	28	32	36	39	42	53	63
Rounded-up RTP payload (bits)	208	224	256	288	312	336	424	504
RTP header	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64
IPv6 header	320	320	320	320	320	320	320	320
Total bits per 40 ms	688	704	736	768	792	816	904	984
Total bit-rate (kbps)	17.2	17.6	18.4	19.2	19.8	20.4	22.6	24.6
AS	18	18	19	20	20	21	23	25

Table K.11: Computation of b=AS for AMR (IPv4, ptime=40, octet-aligned mode)

Mode	4.75	5.15	5.9	6.7	7.4	7.95	10.2	12.2
Bits per speech frame	95	103	118	134	148	159	204	244
Speech frame size (bytes)	24	26	30	34	38	40	52	62
Rounded-up speech frame size (bytes)	24	26	30	34	38	40	52	62
Rounded-up speech frame size (bits)	192	208	240	272	304	320	416	496
Payload header and ToC	24	24	24	24	24	24	24	24
RTP payload (bits)	216	232	264	296	328	344	440	520
RTP header	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64
IPv4 header	160	160	160	160	160	160	160	160
Total bits per 40 ms	536	552	584	616	648	664	760	840
Total bit-rate (kbps)	13.4	13.8	14.6	15.4	16.2	16.6	19	21
AS	14	14	15	16	17	17	19	21

Table K.12: Computation of b=AS for AMR (IPv6, ptime=40, octet-aligned mode)

Mode	4.75	5.15	5.9	6.7	7.4	7.95	10.2	12.2
Bits per speech frame	95	103	118	134	148	159	204	244
Speech frame size (bytes)	24	26	30	34	38	40	52	62
Rounded-up speech frame size (bytes)	24	26	30	34	38	40	52	62
Rounded-up speech frame size (bits)	192	208	240	272	304	320	416	496
Payload header and ToC	24	24	24	24	24	24	24	24
RTP payload (bits)	216	232	264	296	328	344	440	520
RTP header	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64
IPv6 header	320	320	320	320	320	320	320	320
Total bits per 40 ms	696	712	744	776	808	824	920	1000
Total bit-rate (kbps)	17.4	17.8	18.6	19.4	20.2	20.6	23	25
AS	18	18	19	20	21	21	23	25

Table K.13: Computation of b=AS for AMR-WB (IPv4, ptime=40, bandwidth-efficient mode)

Mode	6.6	8.85	12.65	14.25	15.85	18.25	19.85	23.05	23.85
Bits per speech frame	132	177	253	285	317	365	397	461	477
Payload header and ToC	16	16	16	16	16	16	16	16	16
RTP payload (bits)	280	370	522	586	650	746	810	938	970
RTP payload (bytes)	35	46.25	65.25	73.25	81.25	93.25	101.3	117.3	121.25
Rounded-up RTP payload (bytes)	35	47	66	74	82	94	102	118	122
Rounded-up RTP payload (bits)	280	376	528	592	656	752	816	944	976
RTP header	96	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64	64
IPv4 header	160	160	160	160	160	160	160	160	160
Total bits per 40 ms	600	696	848	912	976	1072	1136	1264	1296
Total bit-rate (kbps)	15	17.4	21.2	22.8	24.4	26.8	28.4	31.6	32.4
AS	15	18	22	23	25	27	29	32	33

Table K.14: Computation of b=AS for AMR-WB (IPv6, ptime=40, bandwidth-efficient mode)

Mode	6.6	8.85	12.65	14.25	15.85	18.25	19.85	23.05	23.85
Bits per speech frame	132	177	253	285	317	365	397	461	477
Payload header and ToC	16	16	16	16	16	16	16	16	16
RTP payload (bits)	280	370	522	586	650	746	810	938	970
RTP payload (bytes)	35	46.25	65.25	73.25	81.25	93.25	101.3	117.3	121.25
Rounded-up RTP payload (bytes)	35	47	66	74	82	94	102	118	122
Rounded-up RTP payload (bits)	280	376	528	592	656	752	816	944	976
RTP header	96	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64	64
IPv6 header	320	320	320	320	320	320	320	320	320
Total bits per 40 ms	760	856	1008	1072	1136	1232	1296	1424	1456
Total bit-rate (kbps)	19	21.4	25.2	26.8	28.4	30.8	32.4	35.6	36.4
AS	19	22	26	27	29	31	33	36	37

Table K.15: Computation of b=AS for AMR-WB (IPv4, ptime=40, octet-aligned mode)

Mode	6.6	8.85	12.65	14.25	15.85	18.25	19.85	23.05	23.85
Bits per speech frame	132	177	253	285	317	365	397	461	477
Speech frame size (bytes)	34	46	64	72	80	92	100	116	120
Rounded-up speech frame size (bytes)	34	46	64	72	80	92	100	116	120
Rounded-up speech frame size (bits)	272	368	512	576	640	736	800	928	960
Payload header and ToC	24	24	24	24	24	24	24	24	24
RTP payload (bits)	296	392	536	600	664	760	824	952	984
RTP header	96	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64	64
IPv4 header	160	160	160	160	160	160	160	160	160
Total bits per 40 ms	616	712	856	920	984	1080	1144	1272	1304
Total bit-rate (kbps)	15.4	17.8	21.4	23	24.6	27	28.6	31.8	32.6
AS	16	18	22	23	25	27	29	32	33

Table K.16: Computation of b=AS for AMR-WB (IPv6, ptime=40, octet-aligned mode)

Mode	6.6	8.85	12.65	14.25	15.85	18.25	19.85	23.05	23.85
Bits per speech frame	132	177	253	285	317	365	397	461	477
Speech frame size (bytes)	34	46	64	72	80	92	100	116	120
Rounded-up speech frame size (bytes)	34	46	64	72	80	92	100	116	120
Rounded-up speech frame size (bits)	272	368	512	576	640	736	800	928	960
Payload header and ToC	24	24	24	24	24	24	24	24	24
RTP payload (bits)	296	392	536	600	664	760	824	952	984
RTP header	96	96	96	96	96	96	96	96	96
UDP header	64	64	64	64	64	64	64	64	64
IPv6 header	320	320	320	320	320	320	320	320	320
Total bits per 40 ms	776	872	1016	1080	1144	1240	1304	1432	1464
Total bit-rate (kbps)	19.4	21.8	25.4	27	28.6	31	32.6	35.8	36.6
AS	20	22	26	27	29	31	33	36	37

Annex L (Normative):
Facsimile transmission