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Electronic mixer

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1514: 142: 1062: 29: 1509:{\displaystyle =\underbrace {\frac {E_{\mathrm {sig} }^{2}+E_{\mathrm {LO} }^{2}}{2}} _{constant\;component}+\underbrace {{\frac {E_{\mathrm {sig} }^{2}}{2}}\cos(2\omega _{\mathrm {sig} }t+2\varphi )+{\frac {E_{\mathrm {LO} }^{2}}{2}}\cos(2\omega _{\mathrm {LO} }t)+E_{\mathrm {sig} }E_{\mathrm {LO} }\cos((\omega _{\mathrm {sig} }+\omega _{\mathrm {LO} })t+\varphi )} _{high\;frequency\;component}} 134: 2042:) and switching mixers. Diode mixers take advantage of the non-linearity of diode devices to produce the desired multiplication in the squared term. They are very inefficient as most of the power output is in other unwanted terms which need filtering out. Inexpensive AM radios still use diode mixers. 1691: 644: 2119:. These are used as electronic switches, to alternate the signal direction. They are controlled by the signal being mixed. They are especially popular with digitally controlled radios. Switching mixers pass more power and usually insert less distortion than Gilbert cell mixers. 327:. In many typical circuits, the single output signal actually contains multiple waveforms, namely those at the sum and difference of the two input frequencies and harmonic waveforms. The output signal may be obtained by removing the other signal components with a filter.í 266:, etc. Therefore, normal nonlinear amplifiers or just single diodes have been used as mixers, instead of a more complex multiplier. A multiplier usually has the advantage of rejecting – at least partly – undesired higher-order intermodulations and larger conversion gain. 322:
to modulate signal frequencies. A multiplicative mixer can be coupled with a filter to either up-convert or down-convert an input signal frequency, but they are more commonly used to down-convert to a lower frequency to allow for simpler filter designs, as done in
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would generate intermodulation (mixing) products. A multiplier (which is a nonlinear device) will generate ideally only the sum and difference frequencies, whereas an arbitrary nonlinear block will also generate signals at
1524: 417: 504: 489: 1875: 1822: 1054: 1734: 1949: 1769: 1914: 1824:) and constant components. In heterodyne detection, the high frequency components and usually the constant components are filtered out, leaving the intermediate (beat) frequency at 652: 1984: 2016: 318:
An ideal multiplicative mixer produces an output signal equal to the product of the two input signals. In communications, a multiplicative mixer is often used together with an
284:, giving out a composite signal that contains the frequency components of each of the source signals. The simplest additive mixers are resistor networks, and thus purely 768: 1686:{\displaystyle +\underbrace {E_{\mathrm {sig} }E_{\mathrm {LO} }\cos((\omega _{\mathrm {sig} }-\omega _{\mathrm {LO} })t+\varphi )} _{beat\;component}.} 639:{\displaystyle I\propto \left(E_{\mathrm {sig} }\cos(\omega _{\mathrm {sig} }t+\varphi )+E_{\mathrm {LO} }\cos(\omega _{\mathrm {LO} }t)\right)^{2}} 347: 428: 1827: 1774: 867: 101: 164:, but they are very different types of circuits: additive mixers and multiplicative mixers. Additive mixers are also known as 137:
A simple three-channel passive additive mixer. More channels can be added by simply adding more input jacks and mix resistors.
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then the beat component is a recovered version of the original signal, with the amplitude equal to the product of
1877:. The amplitude of this last component is proportional to the amplitude of the signal radiation. With appropriate 87: 179:
to add the currents of two or more signals together, and this terminology ("mixer") is only used in the realm of
1701: 54: 1919: 1739: 2058: 1887: 753:{\displaystyle ={\frac {E_{\mathrm {sig} }^{2}}{2}}\left(1+\cos(2\omega _{\mathrm {sig} }t+2\varphi )\right)} 69: 2018:; that is, the received signal is amplified by mixing with the local oscillator. This is the basis for a 176: 157: 145:
A "virtual ground" active additive mixer. The buffer amplifiers serve to reduce crosstalk and distortion.
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into one or two composite output signals. There are two basic circuits that both use the term
94: 2136: 319: 8: 2084: 169: 301: 850:{\displaystyle +{\frac {E_{\mathrm {LO} }^{2}}{2}}(1+\cos(2\omega _{\mathrm {LO} }t))} 180: 17: 2092: 2054: 297: 2066: 2039: 1878: 313: 226:, then the output of the mixer will contain two new sinusoids that have the sum f 2069:
to tight tolerances by the hundreds of thousands, making them relatively cheap.
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Multiplicative mixers have been implemented in many ways. The most popular are
275: 235: 141: 2125: 207: 412:{\displaystyle E_{\mathrm {sig} }\cos(\omega _{\mathrm {sig} }t+\varphi )\,} 2096: 2031: 289: 200: 188: 2116: 2088: 2065:. They are designed for a wide variety of frequency ranges, and they are 192: 184: 154: 206:
Multiplicative mixers multiply together two time-varying input signals
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Any nonlinear electronic block driven by two signals with frequencies f
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or even a double-balanced circuit. They are readily manufactured as
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are an arrangement of transistors that multiplies the two signals.
484:{\displaystyle E_{\mathrm {LO} }\cos(\omega _{\mathrm {LO} }t).\,} 1870:{\displaystyle \omega _{\mathrm {sig} }-\omega _{\mathrm {LO} }} 1817:{\displaystyle \omega _{\mathrm {sig} }+\omega _{\mathrm {LO} }} 498:
of the detector is proportional to the square of the amplitude:
133: 2050: 2035: 196: 1049:{\displaystyle +E_{\mathrm {sig} }E_{\mathrm {LO} }\left} 210:(instant-by-instant). If the two input signals are both 422:
and that of the local oscillator can be represented as
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is a device that combines two or more electrical or
2010: 1978: 1943: 1908: 1881:the phase of the signal can be recovered as well. 1869: 1816: 1763: 1728: 1685: 1508: 1048: 849: 752: 638: 483: 411: 2123: 57:. Unsourced material may be challenged and 1650: 1476: 1448: 1155: 341:The received signal can be represented as 1729:{\displaystyle 2\omega _{\mathrm {sig} }} 480: 408: 336: 121:Learn how and when to remove this message 2045:Electronic mixers are usually made with 1944:{\displaystyle \omega _{\mathrm {sig} }} 1764:{\displaystyle 2\omega _{\mathrm {LO} }} 307: 140: 132: 1909:{\displaystyle \omega _{\mathrm {LO} }} 494:For simplicity, assume that the output 234:frequency and the difference frequency 2124: 55:adding citations to reliable sources 22: 13: 2025: 2002: 1999: 1979:{\displaystyle E_{\mathrm {sig} }} 1970: 1967: 1964: 1935: 1932: 1929: 1900: 1897: 1861: 1858: 1843: 1840: 1837: 1808: 1805: 1790: 1787: 1784: 1755: 1752: 1720: 1717: 1714: 1610: 1607: 1592: 1589: 1586: 1562: 1559: 1547: 1544: 1541: 1408: 1405: 1390: 1387: 1384: 1360: 1357: 1345: 1342: 1339: 1318: 1315: 1281: 1278: 1246: 1243: 1240: 1206: 1203: 1200: 1109: 1106: 1086: 1083: 1080: 1020: 1017: 1002: 999: 996: 954: 951: 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2012: 1980: 1945: 1910: 1871: 1818: 1765: 1730: 1687: 1510: 1050: 851: 754: 640: 485: 413: 337:Mathematical treatment 332:Intermediate frequency 304:and better isolation. 170:digital adder circuits 146: 138: 2087:(UHF) communications 2013: 1981: 1946: 1911: 1872: 1819: 1766: 1731: 1688: 1511: 1051: 852: 755: 641: 486: 414: 330:Further information: 308:Multiplicative mixers 288:, while more complex 144: 136: 1990: 1955: 1920: 1888: 1828: 1775: 1740: 1702: 1525: 1063: 868: 769: 653: 505: 429: 348: 51:improve this article 2103:Gilbert cell mixers 2085:ultrahigh frequency 1291: 1216: 1119: 1096: 796: 683: 296:components such as 2008: 1976: 1941: 1906: 1867: 1814: 1761: 1726: 1683: 1679: 1635: 1506: 1505: 1433: 1272: 1194: 1184: 1128: 1100: 1074: 1046: 847: 777: 750: 661: 636: 481: 409: 302:impedance matching 147: 139: 70:"Electronic mixer" 1533: 1531: 1295: 1220: 1190: 1188: 1124: 1071: 1069: 800: 687: 298:buffer amplifiers 181:audio electronics 131: 130: 123: 105: 18:Mixer (appliance) 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236:absolute value 231: 227: 223: 219: 129: 128: 35: 33: 26: 9: 6: 4: 3: 2: 2149: 2138: 2135: 2133: 2130: 2129: 2127: 2120: 2118: 2114: 2110: 2106: 2104: 2100: 2098: 2097:radar systems 2094: 2090: 2086: 2082: 2078: 2074: 2070: 2068: 2067:mass-produced 2064: 2060: 2056: 2052: 2048: 2043: 2041: 2037: 2033: 2023: 2021: 1994: 1959: 1924: 1892: 1882: 1880: 1853: 1849: 1832: 1800: 1796: 1779: 1747: 1743: 1709: 1705: 1680: 1675: 1672: 1669: 1666: 1663: 1660: 1657: 1654: 1651: 1647: 1644: 1641: 1638: 1632: 1625: 1622: 1619: 1602: 1598: 1581: 1571: 1568: 1554: 1536: 1528: 1521: 1520: 1519: 1518: 1501: 1498: 1495: 1492: 1489: 1486: 1483: 1480: 1477: 1473: 1470: 1467: 1464: 1461: 1458: 1455: 1452: 1449: 1445: 1442: 1439: 1436: 1430: 1423: 1420: 1417: 1400: 1396: 1379: 1369: 1366: 1352: 1334: 1330: 1324: 1310: 1306: 1300: 1297: 1292: 1287: 1273: 1267: 1261: 1258: 1255: 1252: 1235: 1231: 1225: 1222: 1217: 1212: 1195: 1185: 1180: 1177: 1174: 1171: 1168: 1165: 1162: 1159: 1156: 1152: 1149: 1146: 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41: 36:This article 34: 30: 25: 24: 19: 2137:Audio mixing 2117:vacuum tubes 2108: 2107: 2102: 2101: 2089:transmitters 2072: 2071: 2044: 2032:Gilbert cell 2029: 1916:is equal to 1883: 1697: 495: 493: 421: 340: 317: 279: 248: 205: 185:audio mixers 174: 165: 161: 150: 148: 117: 108: 98: 91: 84: 77: 65: 49:Please help 37: 2047:transistors 216:frequencies 2126:Categories 320:oscillator 274:See also: 155:electronic 81:newspapers 1925:ω 1893:ω 1854:ω 1850:− 1833:ω 1801:ω 1780:ω 1748:ω 1710:ω 1633:⏟ 1626:φ 1603:ω 1599:− 1582:ω 1572:⁡ 1431:⏟ 1424:φ 1401:ω 1380:ω 1370:⁡ 1311:ω 1301:⁡ 1262:φ 1236:ω 1226:⁡ 1126:⏟ 1036:φ 1013:ω 1009:− 992:ω 982:⁡ 970:φ 947:ω 926:ω 916:⁡ 825:ω 815:⁡ 740:φ 714:ω 704:⁡ 606:ω 599:⁡ 572:φ 549:ω 542:⁡ 512:∝ 458:ω 451:⁡ 403:φ 380:ω 373:⁡ 212:sinusoids 195:signals, 38:does not 2034:mixers, 191:such as 2049:and/or 292:employ 286:passive 158:signals 95:scholar 59:removed 44:sources 2095:, and 2051:diodes 294:active 183:where 97:  90:  83:  76:  68:  2036:diode 253:and f 222:and f 197:music 193:voice 162:mixer 102:JSTOR 88:books 1986:and 1771:and 300:for 262:-3·f 242:- f 74:news 42:any 40:cite 2115:or 2061:or 1884:If 1569:cos 1367:cos 1298:cos 1223:cos 979:cos 913:cos 812:cos 701:cos 596:cos 539:cos 448:cos 370:cos 258:2·f 246:|. 230:+ f 149:An 53:by 2128:: 2099:. 2091:, 2083:, 2079:, 2022:. 1736:, 238:|f 203:. 172:. 2003:O 2000:L 1995:E 1971:g 1968:i 1965:s 1960:E 1936:g 1933:i 1930:s 1901:O 1898:L 1862:O 1859:L 1844:g 1841:i 1838:s 1809:O 1806:L 1797:+ 1791:g 1788:i 1785:s 1756:O 1753:L 1744:2 1721:g 1718:i 1715:s 1706:2 1681:. 1676:t 1673:n 1670:e 1667:n 1664:o 1661:p 1658:m 1655:o 1652:c 1648:t 1645:a 1642:e 1639:b 1629:) 1623:+ 1620:t 1617:) 1611:O 1608:L 1593:g 1590:i 1587:s 1578:( 1575:( 1563:O 1560:L 1555:E 1548:g 1545:i 1542:s 1537:E 1529:+ 1502:t 1499:n 1496:e 1493:n 1490:o 1487:p 1484:m 1481:o 1478:c 1474:y 1471:c 1468:n 1465:e 1462:u 1459:q 1456:e 1453:r 1450:f 1446:h 1443:g 1440:i 1437:h 1427:) 1421:+ 1418:t 1415:) 1409:O 1406:L 1397:+ 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Mixer (appliance)

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electronic
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digital adder circuits
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audio electronics
audio mixers
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voice
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instantaneously
sinusoids
frequencies
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